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

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Solution for 4(x+3)+2(-x+3)=6-x equation:


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

Reorder the terms:
4(3 + x) + 2(-1x + 3) = 6 + -1x
(3 * 4 + x * 4) + 2(-1x + 3) = 6 + -1x
(12 + 4x) + 2(-1x + 3) = 6 + -1x

Reorder the terms:
12 + 4x + 2(3 + -1x) = 6 + -1x
12 + 4x + (3 * 2 + -1x * 2) = 6 + -1x
12 + 4x + (6 + -2x) = 6 + -1x

Reorder the terms:
12 + 6 + 4x + -2x = 6 + -1x

Combine like terms: 12 + 6 = 18
18 + 4x + -2x = 6 + -1x

Combine like terms: 4x + -2x = 2x
18 + 2x = 6 + -1x

Solving
18 + 2x = 6 + -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.
18 + 2x + x = 6 + -1x + x

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

Combine like terms: -1x + x = 0
18 + 3x = 6 + 0
18 + 3x = 6

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

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

Combine like terms: 6 + -18 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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