10x-12-8x=-4(x-5)

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Solution for 10x-12-8x=-4(x-5) equation:


Simplifying
10x + -12 + -8x = -4(x + -5)

Reorder the terms:
-12 + 10x + -8x = -4(x + -5)

Combine like terms: 10x + -8x = 2x
-12 + 2x = -4(x + -5)

Reorder the terms:
-12 + 2x = -4(-5 + x)
-12 + 2x = (-5 * -4 + x * -4)
-12 + 2x = (20 + -4x)

Solving
-12 + 2x = 20 + -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.
-12 + 2x + 4x = 20 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-12 + 6x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 6x = 20 + 0
-12 + 6x = 20

Add '12' to each side of the equation.
-12 + 12 + 6x = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 20 + 12
6x = 20 + 12

Combine like terms: 20 + 12 = 32
6x = 32

Divide each side by '6'.
x = 5.333333333

Simplifying
x = 5.333333333

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