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

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


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

Reorder the terms:
3(4 + 2x) = 4x + 18 + -1x
(4 * 3 + 2x * 3) = 4x + 18 + -1x
(12 + 6x) = 4x + 18 + -1x

Reorder the terms:
12 + 6x = 18 + 4x + -1x

Combine like terms: 4x + -1x = 3x
12 + 6x = 18 + 3x

Solving
12 + 6x = 18 + 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.
12 + 6x + -3x = 18 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = 18 + 0
12 + 3x = 18

Add '-12' to each side of the equation.
12 + -12 + 3x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 18 + -12
3x = 18 + -12

Combine like terms: 18 + -12 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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