18-2x=5(x-2)-3x

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Solution for 18-2x=5(x-2)-3x equation:


Simplifying
18 + -2x = 5(x + -2) + -3x

Reorder the terms:
18 + -2x = 5(-2 + x) + -3x
18 + -2x = (-2 * 5 + x * 5) + -3x
18 + -2x = (-10 + 5x) + -3x

Combine like terms: 5x + -3x = 2x
18 + -2x = -10 + 2x

Solving
18 + -2x = -10 + 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.
18 + -2x + -2x = -10 + 2x + -2x

Combine like terms: -2x + -2x = -4x
18 + -4x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -4x = -10 + 0
18 + -4x = -10

Add '-18' to each side of the equation.
18 + -18 + -4x = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = -10 + -18
-4x = -10 + -18

Combine like terms: -10 + -18 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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