Question

linear equations w/ distribution (lev 3)
score: 5/6 penalty: none

question

solve for ( x ):

( -8 + 5(2x + 1) = -(-7x + 9) + x )

answer attempt 1 out of 2

( x = )

submit answer

Explanation:

Step1: Apply distributive property

Left side: $-8 + 5(2x + 1)=-8 + 10x + 5$
Right side: $-(-7x + 9)+x = 7x - 9 + x$

Step2: Simplify both sides

Left side: $-8 + 5 + 10x=-3 + 10x$
Right side: $7x + x - 9 = 8x - 9$
Equation becomes: $-3 + 10x = 8x - 9$

Step3: Subtract 8x from both sides

$10x - 8x - 3 = 8x - 8x - 9$
$2x - 3 = -9$

Step4: Add 3 to both sides

$2x - 3 + 3 = -9 + 3$
$2x = -6$

Step5: Divide by 2

$\frac{2x}{2}=\frac{-6}{2}$
$x = -3$

Answer:

$x = -3$