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How do you solve #−4(x + 1) − 3 = −3(x − 4)#?

Answer 1

Eva Abramson

#x=-19#

Let's start by distributing the #-4# on the left side and the #-3# on the right. We get

#-4x-4-3=-3x+12#

The terms on the left can be made simpler to get

#-4x-7=-3x+12#

Adding #4x# to both sides, we get

#-7=x+12#

We can subtract #12# from both sides to get

#x=-19#

I hope this is useful.

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Answer 2

Isaiah Anthony

To solve the equation −4(x + 1) − 3 = −3(x − 4), follow these steps:

Distribute the -4 and -3 on the left side, and the -3 on the right side.
Combine like terms.
Isolate the variable term on one side of the equation.
Solve for the variable.
Check your solution by substituting it back into the original equation.

Solving step by step:

Start with −4(x + 1) − 3 = −3(x − 4)
Expand both sides: -4x - 4 - 3 = -3x + 12
Combine like terms: -4x - 7 = -3x + 12
Add 4x to both sides: -7 = x + 12
Subtract 12 from both sides: -19 = x

So, the solution is x = -19.

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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.