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

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


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

Reorder the terms:
4(-4 + x) + -3x = 3(x + -2)
(-4 * 4 + x * 4) + -3x = 3(x + -2)
(-16 + 4x) + -3x = 3(x + -2)

Combine like terms: 4x + -3x = 1x
-16 + 1x = 3(x + -2)

Reorder the terms:
-16 + 1x = 3(-2 + x)
-16 + 1x = (-2 * 3 + x * 3)
-16 + 1x = (-6 + 3x)

Solving
-16 + 1x = -6 + 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 + 1x + -3x = -6 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-16 + -2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + -2x = -6 + 0
-16 + -2x = -6

Add '16' to each side of the equation.
-16 + 16 + -2x = -6 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = -6 + 16
-2x = -6 + 16

Combine like terms: -6 + 16 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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