10=2(x-5)-6

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Solution for 10=2(x-5)-6 equation:


Simplifying
10 = 2(x + -5) + -6

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

Reorder the terms:
10 = -10 + -6 + 2x

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

Solving
10 = -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.
10 + -2x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -2x = -16 + 0
10 + -2x = -16

Add '-10' to each side of the equation.
10 + -10 + -2x = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -16 + -10
-2x = -16 + -10

Combine like terms: -16 + -10 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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