5(3x-2)-2(2x-12)=2(5x+2)-3

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


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

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

Reorder the terms:
-10 + 15x + -2(-12 + 2x) = 2(5x + 2) + -3
-10 + 15x + (-12 * -2 + 2x * -2) = 2(5x + 2) + -3
-10 + 15x + (24 + -4x) = 2(5x + 2) + -3

Reorder the terms:
-10 + 24 + 15x + -4x = 2(5x + 2) + -3

Combine like terms: -10 + 24 = 14
14 + 15x + -4x = 2(5x + 2) + -3

Combine like terms: 15x + -4x = 11x
14 + 11x = 2(5x + 2) + -3

Reorder the terms:
14 + 11x = 2(2 + 5x) + -3
14 + 11x = (2 * 2 + 5x * 2) + -3
14 + 11x = (4 + 10x) + -3

Reorder the terms:
14 + 11x = 4 + -3 + 10x

Combine like terms: 4 + -3 = 1
14 + 11x = 1 + 10x

Solving
14 + 11x = 1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
14 + 11x + -10x = 1 + 10x + -10x

Combine like terms: 11x + -10x = 1x
14 + 1x = 1 + 10x + -10x

Combine like terms: 10x + -10x = 0
14 + 1x = 1 + 0
14 + 1x = 1

Add '-14' to each side of the equation.
14 + -14 + 1x = 1 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 1 + -14
1x = 1 + -14

Combine like terms: 1 + -14 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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