Question

Question is: Solve -7(x+6)=4(x+6)

Answer 1

$\huge\boxed{x=-6}$

Hey there! Our goal here is to isolate the variable on one side of the equation.

$\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\\-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\\-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\\-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\\-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\\x&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by -11 .}\end{aligned}$

Answer 2

Answer: The answer is x=–6.

Step-by-step explanation: Step 1: Simplify both sides of the equation:

$(-7)(x)+(-7)(6)=(4)(x)+(4 )(6)$ (Distributive Property)

$-7x+-42=4x+24$

$-7x-42=4x+24$

Step 2: Subtract 4x by the both sides: $-7x-42-4x=4x+24-4x$

$-11x-42=24$

Step 3: Add 42 to the both sides: $-11x-42+42=24+42$

$-11x=66$

And step 4: Divide both sides by -11: $\frac{-11x}{-11}=\frac{66}{-11}$, $x=-6$.

I hoped this formula step-by-step is very helpful, please mark me as brainliest, and have a happy holidays! :D