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

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


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

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

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

Reorder the terms:
18 = 8 + 4 + 4x + -1x

Combine like terms: 8 + 4 = 12
18 = 12 + 4x + -1x

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

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

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

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

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

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

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

Simplifying
x = 2

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