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

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


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

Reorder the terms:
-3(-6 + x) = (4 + -1x)
(-6 * -3 + x * -3) = (4 + -1x)
(18 + -3x) = (4 + -1x)

Remove parenthesis around (4 + -1x)
18 + -3x = 4 + -1x

Solving
18 + -3x = 4 + -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 + -3x + x = 4 + -1x + x

Combine like terms: -3x + x = -2x
18 + -2x = 4 + -1x + x

Combine like terms: -1x + x = 0
18 + -2x = 4 + 0
18 + -2x = 4

Add '-18' to each side of the equation.
18 + -18 + -2x = 4 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = 4 + -18
-2x = 4 + -18

Combine like terms: 4 + -18 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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