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

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


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

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

Remove parenthesis around (-2 + 3x)
x = -2 + 3x + (5x + -5)

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

Remove parenthesis around (-5 + 5x)
x = -2 + 3x + -5 + 5x

Reorder the terms:
x = -2 + -5 + 3x + 5x

Combine like terms: -2 + -5 = -7
x = -7 + 3x + 5x

Combine like terms: 3x + 5x = 8x
x = -7 + 8x

Solving
x = -7 + 8x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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