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

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


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

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

Reorder the terms:
12 + 6 + -3x = -6x + 3

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

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

Solving
18 + -3x = 3 + -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.
18 + -3x + 6x = 3 + -6x + 6x

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

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

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

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

Combine like terms: 3 + -18 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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