2(3x+4)-5(2x-3)-2=7(2x-4)+2(8-5x)+3x

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Solution for 2(3x+4)-5(2x-3)-2=7(2x-4)+2(8-5x)+3x equation: 


Simplifying
2(3x + 4) + -5(2x + -3) + -2 = 7(2x + -4) + 2(8 + -5x) + 3x

Reorder the terms:
2(4 + 3x) + -5(2x + -3) + -2 = 7(2x + -4) + 2(8 + -5x) + 3x
(4 * 2 + 3x * 2) + -5(2x + -3) + -2 = 7(2x + -4) + 2(8 + -5x) + 3x
(8 + 6x) + -5(2x + -3) + -2 = 7(2x + -4) + 2(8 + -5x) + 3x

Reorder the terms:
8 + 6x + -5(-3 + 2x) + -2 = 7(2x + -4) + 2(8 + -5x) + 3x
8 + 6x + (-3 * -5 + 2x * -5) + -2 = 7(2x + -4) + 2(8 + -5x) + 3x
8 + 6x + (15 + -10x) + -2 = 7(2x + -4) + 2(8 + -5x) + 3x

Reorder the terms:
8 + 15 + -2 + 6x + -10x = 7(2x + -4) + 2(8 + -5x) + 3x

Combine like terms: 8 + 15 = 23
23 + -2 + 6x + -10x = 7(2x + -4) + 2(8 + -5x) + 3x

Combine like terms: 23 + -2 = 21
21 + 6x + -10x = 7(2x + -4) + 2(8 + -5x) + 3x

Combine like terms: 6x + -10x = -4x
21 + -4x = 7(2x + -4) + 2(8 + -5x) + 3x

Reorder the terms:
21 + -4x = 7(-4 + 2x) + 2(8 + -5x) + 3x
21 + -4x = (-4 * 7 + 2x * 7) + 2(8 + -5x) + 3x
21 + -4x = (-28 + 14x) + 2(8 + -5x) + 3x
21 + -4x = -28 + 14x + (8 * 2 + -5x * 2) + 3x
21 + -4x = -28 + 14x + (16 + -10x) + 3x

Reorder the terms:
21 + -4x = -28 + 16 + 14x + -10x + 3x

Combine like terms: -28 + 16 = -12
21 + -4x = -12 + 14x + -10x + 3x

Combine like terms: 14x + -10x = 4x
21 + -4x = -12 + 4x + 3x

Combine like terms: 4x + 3x = 7x
21 + -4x = -12 + 7x

Solving
21 + -4x = -12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
21 + -4x + -7x = -12 + 7x + -7x

Combine like terms: -4x + -7x = -11x
21 + -11x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
21 + -11x = -12 + 0
21 + -11x = -12

Add '-21' to each side of the equation.
21 + -21 + -11x = -12 + -21

Combine like terms: 21 + -21 = 0
0 + -11x = -12 + -21
-11x = -12 + -21

Combine like terms: -12 + -21 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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