2(x+3)+1(x-6)=6x+18

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Solution for 2(x+3)+1(x-6)=6x+18 equation: 


Simplifying
2(x + 3) + 1(x + -6) = 6x + 18

Reorder the terms:
2(3 + x) + 1(x + -6) = 6x + 18
(3 * 2 + x * 2) + 1(x + -6) = 6x + 18
(6 + 2x) + 1(x + -6) = 6x + 18

Reorder the terms:
6 + 2x + 1(-6 + x) = 6x + 18
6 + 2x + (-6 * 1 + x * 1) = 6x + 18
6 + 2x + (-6 + 1x) = 6x + 18

Reorder the terms:
6 + -6 + 2x + 1x = 6x + 18

Combine like terms: 6 + -6 = 0
0 + 2x + 1x = 6x + 18
2x + 1x = 6x + 18

Combine like terms: 2x + 1x = 3x
3x = 6x + 18

Reorder the terms:
3x = 18 + 6x

Solving
3x = 18 + 6x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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