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

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


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

Reorder the terms:
3(2 + x) + -2(2x + -5) = 18
(2 * 3 + x * 3) + -2(2x + -5) = 18
(6 + 3x) + -2(2x + -5) = 18

Reorder the terms:
6 + 3x + -2(-5 + 2x) = 18
6 + 3x + (-5 * -2 + 2x * -2) = 18
6 + 3x + (10 + -4x) = 18

Reorder the terms:
6 + 10 + 3x + -4x = 18

Combine like terms: 6 + 10 = 16
16 + 3x + -4x = 18

Combine like terms: 3x + -4x = -1x
16 + -1x = 18

Solving
16 + -1x = 18

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 18 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 18 + -16
-1x = 18 + -16

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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