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

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


Simplifying
-4(4 + -1x) = 3(x + -6)
(4 * -4 + -1x * -4) = 3(x + -6)
(-16 + 4x) = 3(x + -6)

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
-16 + 1x = -18 + 0
-16 + 1x = -18

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

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

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

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

Simplifying
x = -2

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