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

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


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

Reorder the terms:
-3(-6 + x) = 4(4 + -1x)
(-6 * -3 + x * -3) = 4(4 + -1x)
(18 + -3x) = 4(4 + -1x)
18 + -3x = (4 * 4 + -1x * 4)
18 + -3x = (16 + -4x)

Solving
18 + -3x = 16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
18 + -3x + 4x = 16 + -4x + 4x

Combine like terms: -3x + 4x = 1x
18 + 1x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
18 + 1x = 16 + 0
18 + 1x = 16

Add '-18' to each side of the equation.
18 + -18 + 1x = 16 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 16 + -18
1x = 16 + -18

Combine like terms: 16 + -18 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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