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

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


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

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

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

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

Combine like terms: 5 + 7 = 12
5 + -5x = 12 + -2x + -10x

Combine like terms: -2x + -10x = -12x
5 + -5x = 12 + -12x

Solving
5 + -5x = 12 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
5 + -5x + 12x = 12 + -12x + 12x

Combine like terms: -5x + 12x = 7x
5 + 7x = 12 + -12x + 12x

Combine like terms: -12x + 12x = 0
5 + 7x = 12 + 0
5 + 7x = 12

Add '-5' to each side of the equation.
5 + -5 + 7x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 12 + -5
7x = 12 + -5

Combine like terms: 12 + -5 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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