10+x-3*(x-2)+12*(x-4)=2*(x+5)+2x

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Solution for 10+x-3*(x-2)+12*(x-4)=2*(x+5)+2x equation: 


Simplifying
10 + x + -3(x + -2) + 12(x + -4) = 2(x + 5) + 2x

Reorder the terms:
10 + x + -3(-2 + x) + 12(x + -4) = 2(x + 5) + 2x
10 + x + (-2 * -3 + x * -3) + 12(x + -4) = 2(x + 5) + 2x
10 + x + (6 + -3x) + 12(x + -4) = 2(x + 5) + 2x

Reorder the terms:
10 + x + 6 + -3x + 12(-4 + x) = 2(x + 5) + 2x
10 + x + 6 + -3x + (-4 * 12 + x * 12) = 2(x + 5) + 2x
10 + x + 6 + -3x + (-48 + 12x) = 2(x + 5) + 2x

Reorder the terms:
10 + 6 + -48 + x + -3x + 12x = 2(x + 5) + 2x

Combine like terms: 10 + 6 = 16
16 + -48 + x + -3x + 12x = 2(x + 5) + 2x

Combine like terms: 16 + -48 = -32
-32 + x + -3x + 12x = 2(x + 5) + 2x

Combine like terms: x + -3x = -2x
-32 + -2x + 12x = 2(x + 5) + 2x

Combine like terms: -2x + 12x = 10x
-32 + 10x = 2(x + 5) + 2x

Reorder the terms:
-32 + 10x = 2(5 + x) + 2x
-32 + 10x = (5 * 2 + x * 2) + 2x
-32 + 10x = (10 + 2x) + 2x

Combine like terms: 2x + 2x = 4x
-32 + 10x = 10 + 4x

Solving
-32 + 10x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-32 + 10x + -4x = 10 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-32 + 6x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-32 + 6x = 10 + 0
-32 + 6x = 10

Add '32' to each side of the equation.
-32 + 32 + 6x = 10 + 32

Combine like terms: -32 + 32 = 0
0 + 6x = 10 + 32
6x = 10 + 32

Combine like terms: 10 + 32 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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