8+2(x-5)=6-2(x-5)

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Solution for 8+2(x-5)=6-2(x-5) equation:


Simplifying
8 + 2(x + -5) = 6 + -2(x + -5)

Reorder the terms:
8 + 2(-5 + x) = 6 + -2(x + -5)
8 + (-5 * 2 + x * 2) = 6 + -2(x + -5)
8 + (-10 + 2x) = 6 + -2(x + -5)

Combine like terms: 8 + -10 = -2
-2 + 2x = 6 + -2(x + -5)

Reorder the terms:
-2 + 2x = 6 + -2(-5 + x)
-2 + 2x = 6 + (-5 * -2 + x * -2)
-2 + 2x = 6 + (10 + -2x)

Combine like terms: 6 + 10 = 16
-2 + 2x = 16 + -2x

Solving
-2 + 2x = 16 + -2x

Solving for variable 'x'.

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

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

Combine like terms: 2x + 2x = 4x
-2 + 4x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 4x = 16 + 0
-2 + 4x = 16

Add '2' to each side of the equation.
-2 + 2 + 4x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 16 + 2
4x = 16 + 2

Combine like terms: 16 + 2 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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