4(3x+1)-2(2-3x)+2=2(2x-1)-5(2-3x)

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Solution for 4(3x+1)-2(2-3x)+2=2(2x-1)-5(2-3x) equation: 


Simplifying
4(3x + 1) + -2(2 + -3x) + 2 = 2(2x + -1) + -5(2 + -3x)

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

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

Combine like terms: 4 + -4 = 0
0 + 2 + 12x + 6x = 2(2x + -1) + -5(2 + -3x)
2 + 12x + 6x = 2(2x + -1) + -5(2 + -3x)

Combine like terms: 12x + 6x = 18x
2 + 18x = 2(2x + -1) + -5(2 + -3x)

Reorder the terms:
2 + 18x = 2(-1 + 2x) + -5(2 + -3x)
2 + 18x = (-1 * 2 + 2x * 2) + -5(2 + -3x)
2 + 18x = (-2 + 4x) + -5(2 + -3x)
2 + 18x = -2 + 4x + (2 * -5 + -3x * -5)
2 + 18x = -2 + 4x + (-10 + 15x)

Reorder the terms:
2 + 18x = -2 + -10 + 4x + 15x

Combine like terms: -2 + -10 = -12
2 + 18x = -12 + 4x + 15x

Combine like terms: 4x + 15x = 19x
2 + 18x = -12 + 19x

Solving
2 + 18x = -12 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
2 + 18x + -19x = -12 + 19x + -19x

Combine like terms: 18x + -19x = -1x
2 + -1x = -12 + 19x + -19x

Combine like terms: 19x + -19x = 0
2 + -1x = -12 + 0
2 + -1x = -12

Add '-2' to each side of the equation.
2 + -2 + -1x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -12 + -2
-1x = -12 + -2

Combine like terms: -12 + -2 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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