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

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Solution for 8(x+1)-4(x-3)-x=2(x+18) equation:


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

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

Reorder the terms:
8 + 8x + -4(-3 + x) + -1x = 2(x + 18)
8 + 8x + (-3 * -4 + x * -4) + -1x = 2(x + 18)
8 + 8x + (12 + -4x) + -1x = 2(x + 18)

Reorder the terms:
8 + 12 + 8x + -4x + -1x = 2(x + 18)

Combine like terms: 8 + 12 = 20
20 + 8x + -4x + -1x = 2(x + 18)

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

Combine like terms: 4x + -1x = 3x
20 + 3x = 2(x + 18)

Reorder the terms:
20 + 3x = 2(18 + x)
20 + 3x = (18 * 2 + x * 2)
20 + 3x = (36 + 2x)

Solving
20 + 3x = 36 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + 3x + -2x = 36 + 2x + -2x

Combine like terms: 3x + -2x = 1x
20 + 1x = 36 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 1x = 36 + 0
20 + 1x = 36

Add '-20' to each side of the equation.
20 + -20 + 1x = 36 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 36 + -20
1x = 36 + -20

Combine like terms: 36 + -20 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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