5x-4(2x-2)=x+2(3x+5)

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Solution for 5x-4(2x-2)=x+2(3x+5) equation:


Simplifying
5x + -4(2x + -2) = x + 2(3x + 5)

Reorder the terms:
5x + -4(-2 + 2x) = x + 2(3x + 5)
5x + (-2 * -4 + 2x * -4) = x + 2(3x + 5)
5x + (8 + -8x) = x + 2(3x + 5)

Reorder the terms:
8 + 5x + -8x = x + 2(3x + 5)

Combine like terms: 5x + -8x = -3x
8 + -3x = x + 2(3x + 5)

Reorder the terms:
8 + -3x = x + 2(5 + 3x)
8 + -3x = x + (5 * 2 + 3x * 2)
8 + -3x = x + (10 + 6x)

Reorder the terms:
8 + -3x = 10 + x + 6x

Combine like terms: x + 6x = 7x
8 + -3x = 10 + 7x

Solving
8 + -3x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + -3x + -7x = 10 + 7x + -7x

Combine like terms: -3x + -7x = -10x
8 + -10x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -10x = 10 + 0
8 + -10x = 10

Add '-8' to each side of the equation.
8 + -8 + -10x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + -10x = 10 + -8
-10x = 10 + -8

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

Divide each side by '-10'.
x = -0.2

Simplifying
x = -0.2

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