10-2(x-3)=6-x+8

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Solution for 10-2(x-3)=6-x+8 equation: 


Simplifying
10 + -2(x + -3) = 6 + -1x + 8

Reorder the terms:
10 + -2(-3 + x) = 6 + -1x + 8
10 + (-3 * -2 + x * -2) = 6 + -1x + 8
10 + (6 + -2x) = 6 + -1x + 8

Combine like terms: 10 + 6 = 16
16 + -2x = 6 + -1x + 8

Reorder the terms:
16 + -2x = 6 + 8 + -1x

Combine like terms: 6 + 8 = 14
16 + -2x = 14 + -1x

Solving
16 + -2x = 14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
16 + -2x + x = 14 + -1x + x

Combine like terms: -2x + x = -1x
16 + -1x = 14 + -1x + x

Combine like terms: -1x + x = 0
16 + -1x = 14 + 0
16 + -1x = 14

Add '-16' to each side of the equation.
16 + -16 + -1x = 14 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 14 + -16
-1x = 14 + -16

Combine like terms: 14 + -16 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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