How do you solve #32 8 = 8 ( 5 - 6 x )#?

Question

Ethan Adkins · Accepted Answer

See a solution process below:

First, divide each side of the equation by #color(red)(8)# to eliminate the parenthesis while keeping the equation balanced: #328/color(red)(8) = (8(5 - 6x))/color(red)(8)# #41 = (color(red)(cancel(color(black)(8)))(5 - 6x))/cancel(color(red)(8))# #41 = 5 - 6x# Next, subtract #color(red)(5)# from each side of the equation to isolate the #x# term while keeping the equation balanced: #41 - color(red)(5) = 5 - color(red)(5) - 6x# #36 = 0 - 6x# #36 = -6x# Now, divide each side of the equation by #color(red)(-6)# to solve for #x# while keeping the equation balanced: #(36)/color(red)(-6) = (-6x)/color(red)(-6)# #-6 = (color(red)(cancel(color(black)(-6)))x)/cancel(color(red)(-6))# #-6 = x# #x = -6#

Julia Adams · Answer

undefined To solve the equation 32 ÷ 8 = 8(5 - 6x):

1. First, simplify the expression within the parentheses: 5 - 6x.
2. Then, distribute 8 into the parentheses: 8 * 5 - 8 * 6x.
3. After that, solve the expression: 40 - 48x.
4. Now, rewrite the equation: 32 ÷ 8 = 40 - 48x.
5. Next, simplify both sides of the equation: 4 = 40 - 48x.
6. Subtract 40 from both sides: 4 - 40 = -48x.
7. Simplify: -36 = -48x.
8. Divide both sides by -48: x = 36/48.
9. Finally, simplify the fraction: x = 3/4 or x = 0.75.