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

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


Simplifying
4(3 + -2x) + 18 = 2(3 + 2x)
(3 * 4 + -2x * 4) + 18 = 2(3 + 2x)
(12 + -8x) + 18 = 2(3 + 2x)

Reorder the terms:
12 + 18 + -8x = 2(3 + 2x)

Combine like terms: 12 + 18 = 30
30 + -8x = 2(3 + 2x)
30 + -8x = (3 * 2 + 2x * 2)
30 + -8x = (6 + 4x)

Solving
30 + -8x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + -8x + -4x = 6 + 4x + -4x

Combine like terms: -8x + -4x = -12x
30 + -12x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + -12x = 6 + 0
30 + -12x = 6

Add '-30' to each side of the equation.
30 + -30 + -12x = 6 + -30

Combine like terms: 30 + -30 = 0
0 + -12x = 6 + -30
-12x = 6 + -30

Combine like terms: 6 + -30 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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