10(x-2)=6x-8

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Solution for 10(x-2)=6x-8 equation:


Simplifying
10(x + -2) = 6x + -8

Reorder the terms:
10(-2 + x) = 6x + -8
(-2 * 10 + x * 10) = 6x + -8
(-20 + 10x) = 6x + -8

Reorder the terms:
-20 + 10x = -8 + 6x

Solving
-20 + 10x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + 10x + -6x = -8 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-20 + 4x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + 4x = -8 + 0
-20 + 4x = -8

Add '20' to each side of the equation.
-20 + 20 + 4x = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = -8 + 20
4x = -8 + 20

Combine like terms: -8 + 20 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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