-2(5+5x)+4(5+7x)=8(5+6x)

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Solution for -2(5+5x)+4(5+7x)=8(5+6x) equation:


Simplifying
-2(5 + 5x) + 4(5 + 7x) = 8(5 + 6x)
(5 * -2 + 5x * -2) + 4(5 + 7x) = 8(5 + 6x)
(-10 + -10x) + 4(5 + 7x) = 8(5 + 6x)
-10 + -10x + (5 * 4 + 7x * 4) = 8(5 + 6x)
-10 + -10x + (20 + 28x) = 8(5 + 6x)

Reorder the terms:
-10 + 20 + -10x + 28x = 8(5 + 6x)

Combine like terms: -10 + 20 = 10
10 + -10x + 28x = 8(5 + 6x)

Combine like terms: -10x + 28x = 18x
10 + 18x = 8(5 + 6x)
10 + 18x = (5 * 8 + 6x * 8)
10 + 18x = (40 + 48x)

Solving
10 + 18x = 40 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
10 + 18x + -48x = 40 + 48x + -48x

Combine like terms: 18x + -48x = -30x
10 + -30x = 40 + 48x + -48x

Combine like terms: 48x + -48x = 0
10 + -30x = 40 + 0
10 + -30x = 40

Add '-10' to each side of the equation.
10 + -10 + -30x = 40 + -10

Combine like terms: 10 + -10 = 0
0 + -30x = 40 + -10
-30x = 40 + -10

Combine like terms: 40 + -10 = 30
-30x = 30

Divide each side by '-30'.
x = -1

Simplifying
x = -1

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