2x-8-4x+5=5x+7-3x-10

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Solution for 2x-8-4x+5=5x+7-3x-10 equation:


Simplifying
2x + -8 + -4x + 5 = 5x + 7 + -3x + -10

Reorder the terms:
-8 + 5 + 2x + -4x = 5x + 7 + -3x + -10

Combine like terms: -8 + 5 = -3
-3 + 2x + -4x = 5x + 7 + -3x + -10

Combine like terms: 2x + -4x = -2x
-3 + -2x = 5x + 7 + -3x + -10

Reorder the terms:
-3 + -2x = 7 + -10 + 5x + -3x

Combine like terms: 7 + -10 = -3
-3 + -2x = -3 + 5x + -3x

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

Add '3' to each side of the equation.
-3 + 3 + -2x = -3 + 3 + 2x

Combine like terms: -3 + 3 = 0
0 + -2x = -3 + 3 + 2x
-2x = -3 + 3 + 2x

Combine like terms: -3 + 3 = 0
-2x = 0 + 2x
-2x = 2x

Solving
-2x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2x + -2x = 2x + -2x

Combine like terms: -2x + -2x = -4x
-4x = 2x + -2x

Combine like terms: 2x + -2x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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