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

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


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

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

Reorder the terms:
-20 + 10x = 8(2 + x)
-20 + 10x = (2 * 8 + x * 8)
-20 + 10x = (16 + 8x)

Solving
-20 + 10x = 16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-20 + 10x + -8x = 16 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-20 + 2x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-20 + 2x = 16 + 0
-20 + 2x = 16

Add '20' to each side of the equation.
-20 + 20 + 2x = 16 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = 16 + 20
2x = 16 + 20

Combine like terms: 16 + 20 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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