5*(x-3)+10x-12+2*(2x+3)=12*(x-1)-5*(6-2x)

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Solution for 5*(x-3)+10x-12+2*(2x+3)=12*(x-1)-5*(6-2x) equation: 


Simplifying
5(x + -3) + 10x + -12 + 2(2x + 3) = 12(x + -1) + -5(6 + -2x)

Reorder the terms:
5(-3 + x) + 10x + -12 + 2(2x + 3) = 12(x + -1) + -5(6 + -2x)
(-3 * 5 + x * 5) + 10x + -12 + 2(2x + 3) = 12(x + -1) + -5(6 + -2x)
(-15 + 5x) + 10x + -12 + 2(2x + 3) = 12(x + -1) + -5(6 + -2x)

Reorder the terms:
-15 + 5x + 10x + -12 + 2(3 + 2x) = 12(x + -1) + -5(6 + -2x)
-15 + 5x + 10x + -12 + (3 * 2 + 2x * 2) = 12(x + -1) + -5(6 + -2x)
-15 + 5x + 10x + -12 + (6 + 4x) = 12(x + -1) + -5(6 + -2x)

Reorder the terms:
-15 + -12 + 6 + 5x + 10x + 4x = 12(x + -1) + -5(6 + -2x)

Combine like terms: -15 + -12 = -27
-27 + 6 + 5x + 10x + 4x = 12(x + -1) + -5(6 + -2x)

Combine like terms: -27 + 6 = -21
-21 + 5x + 10x + 4x = 12(x + -1) + -5(6 + -2x)

Combine like terms: 5x + 10x = 15x
-21 + 15x + 4x = 12(x + -1) + -5(6 + -2x)

Combine like terms: 15x + 4x = 19x
-21 + 19x = 12(x + -1) + -5(6 + -2x)

Reorder the terms:
-21 + 19x = 12(-1 + x) + -5(6 + -2x)
-21 + 19x = (-1 * 12 + x * 12) + -5(6 + -2x)
-21 + 19x = (-12 + 12x) + -5(6 + -2x)
-21 + 19x = -12 + 12x + (6 * -5 + -2x * -5)
-21 + 19x = -12 + 12x + (-30 + 10x)

Reorder the terms:
-21 + 19x = -12 + -30 + 12x + 10x

Combine like terms: -12 + -30 = -42
-21 + 19x = -42 + 12x + 10x

Combine like terms: 12x + 10x = 22x
-21 + 19x = -42 + 22x

Solving
-21 + 19x = -42 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-21 + 19x + -22x = -42 + 22x + -22x

Combine like terms: 19x + -22x = -3x
-21 + -3x = -42 + 22x + -22x

Combine like terms: 22x + -22x = 0
-21 + -3x = -42 + 0
-21 + -3x = -42

Add '21' to each side of the equation.
-21 + 21 + -3x = -42 + 21

Combine like terms: -21 + 21 = 0
0 + -3x = -42 + 21
-3x = -42 + 21

Combine like terms: -42 + 21 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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