2+(18-x)+2(x-1)=4(x+2)-8

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Solution for 2+(18-x)+2(x-1)=4(x+2)-8 equation:


Simplifying
2 + (18 + -1x) + 2(x + -1) = 4(x + 2) + -8

Remove parenthesis around (18 + -1x)
2 + 18 + -1x + 2(x + -1) = 4(x + 2) + -8

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

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

Combine like terms: 2 + 18 = 20
20 + -2 + -1x + 2x = 4(x + 2) + -8

Combine like terms: 20 + -2 = 18
18 + -1x + 2x = 4(x + 2) + -8

Combine like terms: -1x + 2x = 1x
18 + 1x = 4(x + 2) + -8

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

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

Combine like terms: 8 + -8 = 0
18 + 1x = 0 + 4x
18 + 1x = 4x

Solving
18 + 1x = 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.
18 + 1x + -4x = 4x + -4x

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

Combine like terms: 4x + -4x = 0
18 + -3x = 0

Add '-18' to each side of the equation.
18 + -18 + -3x = 0 + -18

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

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

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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