2(5x+2)=2(3x-6)

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Solution for 2(5x+2)=2(3x-6) equation:


Simplifying
2(5x + 2) = 2(3x + -6)

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

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

Solving
4 + 10x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 10x + -6x = -12 + 6x + -6x

Combine like terms: 10x + -6x = 4x
4 + 4x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 4x = -12 + 0
4 + 4x = -12

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

Combine like terms: 4 + -4 = 0
0 + 4x = -12 + -4
4x = -12 + -4

Combine like terms: -12 + -4 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4

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