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

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


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

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

Remove parenthesis around (-1 + 2x)
-1 + 2x + (x + 3) = 18 + -1x

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

Remove parenthesis around (3 + x)
-1 + 2x + 3 + x = 18 + -1x

Reorder the terms:
-1 + 3 + 2x + x = 18 + -1x

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

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

Solving
2 + 3x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 3x + x = 18 + -1x + x

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

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

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

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

Combine like terms: 18 + -2 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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