Question

using algebraic properties
solving the equation 6x + 2(x - 1) = 30
given: 6x + 2(x - 1) = 30
step 1: 6x + 2x - 2 = 30
step 2: 8x - 2 = 30
step 3: 8x - 2 + 2 = 30 + 2
step 4: $\frac{8x}{8}=\frac{32}{8}$
step 5: x = 4

Explanation:

Step1: Expand the expression

$6x + 2(x - 1)=6x+2x - 2$

Step2: Combine like - terms

$6x+2x - 2=(6 + 2)x-2=8x - 2$

Step3: Add 2 to both sides

$8x-2 + 2=30 + 2$ simplifies to $8x=32$

Step4: Divide both sides by 8

$\frac{8x}{8}=\frac{32}{8}$

Step5: Solve for x

$x = 4$

Answer:

$x = 4$