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

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


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

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

Reorder the terms:
4 + 4x = 3(-5 + x)
4 + 4x = (-5 * 3 + x * 3)
4 + 4x = (-15 + 3x)

Solving
4 + 4x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 4x + -3x = -15 + 3x + -3x

Combine like terms: 4x + -3x = 1x
4 + 1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 1x = -15 + 0
4 + 1x = -15

Add '-4' to each side of the equation.
4 + -4 + 1x = -15 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -15 + -4
1x = -15 + -4

Combine like terms: -15 + -4 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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