-5(-4x+7)-5x=8x+2(x+5)

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Solution for -5(-4x+7)-5x=8x+2(x+5) equation:


Simplifying
-5(-4x + 7) + -5x = 8x + 2(x + 5)

Reorder the terms:
-5(7 + -4x) + -5x = 8x + 2(x + 5)
(7 * -5 + -4x * -5) + -5x = 8x + 2(x + 5)
(-35 + 20x) + -5x = 8x + 2(x + 5)

Combine like terms: 20x + -5x = 15x
-35 + 15x = 8x + 2(x + 5)

Reorder the terms:
-35 + 15x = 8x + 2(5 + x)
-35 + 15x = 8x + (5 * 2 + x * 2)
-35 + 15x = 8x + (10 + 2x)

Reorder the terms:
-35 + 15x = 10 + 8x + 2x

Combine like terms: 8x + 2x = 10x
-35 + 15x = 10 + 10x

Solving
-35 + 15x = 10 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
-35 + 15x + -10x = 10 + 10x + -10x

Combine like terms: 15x + -10x = 5x
-35 + 5x = 10 + 10x + -10x

Combine like terms: 10x + -10x = 0
-35 + 5x = 10 + 0
-35 + 5x = 10

Add '35' to each side of the equation.
-35 + 35 + 5x = 10 + 35

Combine like terms: -35 + 35 = 0
0 + 5x = 10 + 35
5x = 10 + 35

Combine like terms: 10 + 35 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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