Question

equations w/ distribution (lev 3)
penalty: none
solve for x:
-x - (-7x - 4) = 8x + 6(-x + 5)
attempt 1 out of 2

Explanation:

Step1: Simplify left - hand side

Remove parentheses: $-x-(-7x - 4)=-x + 7x+4=6x + 4$

Step2: Simplify right - hand side

Distribute 6: $8x+6(-x + 5)=8x-6x + 30=2x+30$

Step3: Set up the new equation

We have $6x + 4=2x+30$

Step4: Move variables to one side

Subtract $2x$ from both sides: $6x-2x + 4=2x-2x+30$, which gives $4x + 4=30$

Step5: Move constants to the other side

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

Step6: Solve for x

Divide both sides by 4: $x=\frac{26}{4}=\frac{13}{2}$

Answer:

$x=\frac{13}{2}$