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

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


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

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

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

Solving
-12 + 6x = 20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-12 + 6x + -10x = 20 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
-12 + -4x = 20 + 0
-12 + -4x = 20

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

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

Combine like terms: 20 + 12 = 32
-4x = 32

Divide each side by '-4'.
x = -8

Simplifying
x = -8

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