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

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


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

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

Solving
-6 + 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.
-6 + 3x + -4x = -16 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-6 + -1x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -1x = -16 + 0
-6 + -1x = -16

Add '6' to each side of the equation.
-6 + 6 + -1x = -16 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -16 + 6
-1x = -16 + 6

Combine like terms: -16 + 6 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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