2(x+18)=3(2x-4)

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Solution for 2(x+18)=3(2x-4) equation:


Simplifying
2(x + 18) = 3(2x + -4)

Reorder the terms:
2(18 + x) = 3(2x + -4)
(18 * 2 + x * 2) = 3(2x + -4)
(36 + 2x) = 3(2x + -4)

Reorder the terms:
36 + 2x = 3(-4 + 2x)
36 + 2x = (-4 * 3 + 2x * 3)
36 + 2x = (-12 + 6x)

Solving
36 + 2x = -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.
36 + 2x + -6x = -12 + 6x + -6x

Combine like terms: 2x + -6x = -4x
36 + -4x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
36 + -4x = -12 + 0
36 + -4x = -12

Add '-36' to each side of the equation.
36 + -36 + -4x = -12 + -36

Combine like terms: 36 + -36 = 0
0 + -4x = -12 + -36
-4x = -12 + -36

Combine like terms: -12 + -36 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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