6x-4(3-2x)=5(x-4)

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Solution for 6x-4(3-2x)=5(x-4) equation:


Simplifying
6x + -4(3 + -2x) = 5(x + -4)
6x + (3 * -4 + -2x * -4) = 5(x + -4)
6x + (-12 + 8x) = 5(x + -4)

Reorder the terms:
-12 + 6x + 8x = 5(x + -4)

Combine like terms: 6x + 8x = 14x
-12 + 14x = 5(x + -4)

Reorder the terms:
-12 + 14x = 5(-4 + x)
-12 + 14x = (-4 * 5 + x * 5)
-12 + 14x = (-20 + 5x)

Solving
-12 + 14x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 14x + -5x = -20 + 5x + -5x

Combine like terms: 14x + -5x = 9x
-12 + 9x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 9x = -20 + 0
-12 + 9x = -20

Add '12' to each side of the equation.
-12 + 12 + 9x = -20 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = -20 + 12
9x = -20 + 12

Combine like terms: -20 + 12 = -8
9x = -8

Divide each side by '9'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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