4x-2(x-9)=2+3x

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Solution for 4x-2(x-9)=2+3x equation:


Simplifying
4x + -2(x + -9) = 2 + 3x

Reorder the terms:
4x + -2(-9 + x) = 2 + 3x
4x + (-9 * -2 + x * -2) = 2 + 3x
4x + (18 + -2x) = 2 + 3x

Reorder the terms:
18 + 4x + -2x = 2 + 3x

Combine like terms: 4x + -2x = 2x
18 + 2x = 2 + 3x

Solving
18 + 2x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + 2x + -3x = 2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
18 + -1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -1x = 2 + 0
18 + -1x = 2

Add '-18' to each side of the equation.
18 + -18 + -1x = 2 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 2 + -18
-1x = 2 + -18

Combine like terms: 2 + -18 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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