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

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


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

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

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

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

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

Solving
5 + 2x = -10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 2x + -1x = -10 + x + -1x

Combine like terms: 2x + -1x = 1x
5 + 1x = -10 + x + -1x

Combine like terms: x + -1x = 0
5 + 1x = -10 + 0
5 + 1x = -10

Add '-5' to each side of the equation.
5 + -5 + 1x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -10 + -5
1x = -10 + -5

Combine like terms: -10 + -5 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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