How do you solve #5x+15+4x-3=-2x+4+2#?

Answer 1

#x=-6/11#

#1#. Start by simplifying the left side of the equation.
#5x+15+4x-3=-2x+4+2#
#9x+12=-2x+6#
#2#. Add #2x# to both sides of the equation to get rid of #-2x# on the right side of the equation so that all terms with the variable, #x#, are on the left side of the equation.
#9x# #color(red)(+2x)+12=-2x# #color(red)(+2x)+6#
#11x+12=color(darkorange)0+6#
#11x+12=6#
#3#. Subtract #12# from both sides of the equation to get rid of #12# on the left side of the equation so that all constant terms are on the right side of the equation.
#11x+12# #color(red)(-12)=6# #color(red)(-12)#
#11x+color(darkorange)0=-6#
#11x=-6#
#4#. Divide both sides by 11 to isolate for #x#.
#color(red)((color(black)(11x))/11)=color(red)(color(black)(-6)/11)#
#color(red)((color(blue)cancelcolor(black)(11)color(black)x)/color(blue)cancelcolor(red)(11)color(black)=color(red)(color(black)(-6)/11)#
#color(green)(|bar(ul(color(white)(a/a)x=-6/11color(white)(a/a)|)))#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To solve the equation 5x + 15 + 4x - 3 = -2x + 4 + 2:

  1. Combine like terms on both sides of the equation.
  2. Simplify the equation.
  3. Move all terms involving x to one side and constants to the other side.
  4. Combine like terms again.
  5. Solve for x by isolating it on one side of the equation.
  6. Check the solution to ensure it satisfies the original equation.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7