23x+(18-20x)=208-4(2x-2)

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Solution for 23x+(18-20x)=208-4(2x-2) equation:


Simplifying
23x + (18 + -20x) = 208 + -4(2x + -2)

Remove parenthesis around (18 + -20x)
23x + 18 + -20x = 208 + -4(2x + -2)

Reorder the terms:
18 + 23x + -20x = 208 + -4(2x + -2)

Combine like terms: 23x + -20x = 3x
18 + 3x = 208 + -4(2x + -2)

Reorder the terms:
18 + 3x = 208 + -4(-2 + 2x)
18 + 3x = 208 + (-2 * -4 + 2x * -4)
18 + 3x = 208 + (8 + -8x)

Combine like terms: 208 + 8 = 216
18 + 3x = 216 + -8x

Solving
18 + 3x = 216 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
18 + 3x + 8x = 216 + -8x + 8x

Combine like terms: 3x + 8x = 11x
18 + 11x = 216 + -8x + 8x

Combine like terms: -8x + 8x = 0
18 + 11x = 216 + 0
18 + 11x = 216

Add '-18' to each side of the equation.
18 + -18 + 11x = 216 + -18

Combine like terms: 18 + -18 = 0
0 + 11x = 216 + -18
11x = 216 + -18

Combine like terms: 216 + -18 = 198
11x = 198

Divide each side by '11'.
x = 18

Simplifying
x = 18

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