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

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


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

Reorder the terms:
6(2 + x) = 3(x + 1) + -2x
(2 * 6 + x * 6) = 3(x + 1) + -2x
(12 + 6x) = 3(x + 1) + -2x

Reorder the terms:
12 + 6x = 3(1 + x) + -2x
12 + 6x = (1 * 3 + x * 3) + -2x
12 + 6x = (3 + 3x) + -2x

Combine like terms: 3x + -2x = 1x
12 + 6x = 3 + 1x

Solving
12 + 6x = 3 + 1x

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.
12 + 6x + -1x = 3 + 1x + -1x

Combine like terms: 6x + -1x = 5x
12 + 5x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
12 + 5x = 3 + 0
12 + 5x = 3

Add '-12' to each side of the equation.
12 + -12 + 5x = 3 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 3 + -12
5x = 3 + -12

Combine like terms: 3 + -12 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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