10x-7+2x+3=12+4x+6-3x

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Solution for 10x-7+2x+3=12+4x+6-3x equation:


Simplifying
10x + -7 + 2x + 3 = 12 + 4x + 6 + -3x

Reorder the terms:
-7 + 3 + 10x + 2x = 12 + 4x + 6 + -3x

Combine like terms: -7 + 3 = -4
-4 + 10x + 2x = 12 + 4x + 6 + -3x

Combine like terms: 10x + 2x = 12x
-4 + 12x = 12 + 4x + 6 + -3x

Reorder the terms:
-4 + 12x = 12 + 6 + 4x + -3x

Combine like terms: 12 + 6 = 18
-4 + 12x = 18 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-4 + 12x = 18 + 1x

Solving
-4 + 12x = 18 + 1x

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.
-4 + 12x + -1x = 18 + 1x + -1x

Combine like terms: 12x + -1x = 11x
-4 + 11x = 18 + 1x + -1x

Combine like terms: 1x + -1x = 0
-4 + 11x = 18 + 0
-4 + 11x = 18

Add '4' to each side of the equation.
-4 + 4 + 11x = 18 + 4

Combine like terms: -4 + 4 = 0
0 + 11x = 18 + 4
11x = 18 + 4

Combine like terms: 18 + 4 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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