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

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


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

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

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

Combine like terms: 2 + 18 = 20
20 + 2x = 4(x + -1)

Reorder the terms:
20 + 2x = 4(-1 + x)
20 + 2x = (-1 * 4 + x * 4)
20 + 2x = (-4 + 4x)

Solving
20 + 2x = -4 + 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.
20 + 2x + -4x = -4 + 4x + -4x

Combine like terms: 2x + -4x = -2x
20 + -2x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -2x = -4 + 0
20 + -2x = -4

Add '-20' to each side of the equation.
20 + -20 + -2x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -4 + -20
-2x = -4 + -20

Combine like terms: -4 + -20 = -24
-2x = -24

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

Simplifying
x = 12

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