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

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


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

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

Combine like terms: 10x + 2x = 12x
-8 + 12x = 8(3x + -10)

Reorder the terms:
-8 + 12x = 8(-10 + 3x)
-8 + 12x = (-10 * 8 + 3x * 8)
-8 + 12x = (-80 + 24x)

Solving
-8 + 12x = -80 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-8 + 12x + -24x = -80 + 24x + -24x

Combine like terms: 12x + -24x = -12x
-8 + -12x = -80 + 24x + -24x

Combine like terms: 24x + -24x = 0
-8 + -12x = -80 + 0
-8 + -12x = -80

Add '8' to each side of the equation.
-8 + 8 + -12x = -80 + 8

Combine like terms: -8 + 8 = 0
0 + -12x = -80 + 8
-12x = -80 + 8

Combine like terms: -80 + 8 = -72
-12x = -72

Divide each side by '-12'.
x = 6

Simplifying
x = 6

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