7-3x+5=-2x-3+12x+2

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Solution for 7-3x+5=-2x-3+12x+2 equation:


Simplifying
7 + -3x + 5 = -2x + -3 + 12x + 2

Reorder the terms:
7 + 5 + -3x = -2x + -3 + 12x + 2

Combine like terms: 7 + 5 = 12
12 + -3x = -2x + -3 + 12x + 2

Reorder the terms:
12 + -3x = -3 + 2 + -2x + 12x

Combine like terms: -3 + 2 = -1
12 + -3x = -1 + -2x + 12x

Combine like terms: -2x + 12x = 10x
12 + -3x = -1 + 10x

Solving
12 + -3x = -1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + -3x + -10x = -1 + 10x + -10x

Combine like terms: -3x + -10x = -13x
12 + -13x = -1 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -13x = -1 + 0
12 + -13x = -1

Add '-12' to each side of the equation.
12 + -12 + -13x = -1 + -12

Combine like terms: 12 + -12 = 0
0 + -13x = -1 + -12
-13x = -1 + -12

Combine like terms: -1 + -12 = -13
-13x = -13

Divide each side by '-13'.
x = 1

Simplifying
x = 1

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