Question

1. which value of x makes the equation true? 10 - 2(3x + 7) = 9x + 26 enter your numeric answer in the space provided. x =

Explanation:

Step1: Expand the left - hand side

Use the distributive property $a(b + c)=ab+ac$. So, $10-2(3x + 7)=10-(6x + 14)=10 - 6x-14=-6x - 4$.
The equation becomes $-6x - 4=9x + 26$.

Step2: Move the terms with x to one side

Add $6x$ to both sides of the equation:
$-6x+6x - 4=9x+6x + 26$, which simplifies to $-4 = 15x+26$.

Step3: Move the constant terms to one side

Subtract 26 from both sides:
$-4-26=15x+26 - 26$, so $-30 = 15x$.

Step4: Solve for x

Divide both sides by 15:
$x=\frac{-30}{15}=-2$.

Answer:

$-2$