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

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


Simplifying
2x + -1(18 + -3x) = 2 + x
2x + (18 * -1 + -3x * -1) = 2 + x
2x + (-18 + 3x) = 2 + x

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

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

Solving
-18 + 5x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-18 + 5x + -1x = 2 + x + -1x

Combine like terms: 5x + -1x = 4x
-18 + 4x = 2 + x + -1x

Combine like terms: x + -1x = 0
-18 + 4x = 2 + 0
-18 + 4x = 2

Add '18' to each side of the equation.
-18 + 18 + 4x = 2 + 18

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

Combine like terms: 2 + 18 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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