10x-4-2x=3(x-8)

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Solution for 10x-4-2x=3(x-8) equation:


Simplifying
10x + -4 + -2x = 3(x + -8)

Reorder the terms:
-4 + 10x + -2x = 3(x + -8)

Combine like terms: 10x + -2x = 8x
-4 + 8x = 3(x + -8)

Reorder the terms:
-4 + 8x = 3(-8 + x)
-4 + 8x = (-8 * 3 + x * 3)
-4 + 8x = (-24 + 3x)

Solving
-4 + 8x = -24 + 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.
-4 + 8x + -3x = -24 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-4 + 5x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 5x = -24 + 0
-4 + 5x = -24

Add '4' to each side of the equation.
-4 + 4 + 5x = -24 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -24 + 4
5x = -24 + 4

Combine like terms: -24 + 4 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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