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

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


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

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

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

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

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

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

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

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

Combine like terms: 4x + 2x = 6x
-3 + 6x = 18

Solving
-3 + 6x = 18

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 6x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 18 + 3
6x = 18 + 3

Combine like terms: 18 + 3 = 21
6x = 21

Divide each side by '6'.
x = 3.5

Simplifying
x = 3.5

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