2(3x+4)=18+4(2x-1)

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Solution for 2(3x+4)=18+4(2x-1) equation:


Simplifying
2(3x + 4) = 18 + 4(2x + -1)

Reorder the terms:
2(4 + 3x) = 18 + 4(2x + -1)
(4 * 2 + 3x * 2) = 18 + 4(2x + -1)
(8 + 6x) = 18 + 4(2x + -1)

Reorder the terms:
8 + 6x = 18 + 4(-1 + 2x)
8 + 6x = 18 + (-1 * 4 + 2x * 4)
8 + 6x = 18 + (-4 + 8x)

Combine like terms: 18 + -4 = 14
8 + 6x = 14 + 8x

Solving
8 + 6x = 14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
8 + 6x + -8x = 14 + 8x + -8x

Combine like terms: 6x + -8x = -2x
8 + -2x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -2x = 14 + 0
8 + -2x = 14

Add '-8' to each side of the equation.
8 + -8 + -2x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 14 + -8
-2x = 14 + -8

Combine like terms: 14 + -8 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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