10(x-2)=6(x-4)+12

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Solution for 10(x-2)=6(x-4)+12 equation:


Simplifying
10(x + -2) = 6(x + -4) + 12

Reorder the terms:
10(-2 + x) = 6(x + -4) + 12
(-2 * 10 + x * 10) = 6(x + -4) + 12
(-20 + 10x) = 6(x + -4) + 12

Reorder the terms:
-20 + 10x = 6(-4 + x) + 12
-20 + 10x = (-4 * 6 + x * 6) + 12
-20 + 10x = (-24 + 6x) + 12

Reorder the terms:
-20 + 10x = -24 + 12 + 6x

Combine like terms: -24 + 12 = -12
-20 + 10x = -12 + 6x

Solving
-20 + 10x = -12 + 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 = -12 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-20 + 4x = -12 + 6x + -6x

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

Add '20' to each side of the equation.
-20 + 20 + 4x = -12 + 20

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

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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