Question

directions: solve each equation. use your answe
1.
3 - (-21x - 21) = 8(x + 5) + 10
x = -2 \t x = 2 \t x = 13
red \t green \t purple

Explanation:

Step1: Simplify both sides

First, simplify the left - hand side: \(3-(-21x - 21)=3 + 21x+21=21x + 24\)
Then, simplify the right - hand side: \(8(x + 5)+10=8x+40 + 10=8x+50\)
So the equation becomes \(21x + 24=8x+50\)

Step2: Move the terms with x to one side

Subtract \(8x\) from both sides: \(21x-8x + 24=8x-8x+50\), which simplifies to \(13x+24 = 50\)

Step3: Solve for x

Subtract 24 from both sides: \(13x+24 - 24=50 - 24\), so \(13x=26\)
Divide both sides by 13: \(x=\frac{26}{13}=2\)

Answer:

\(x = 2\) (corresponding to green)