x-20=2(x-2)-10

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Solution for x-20=2(x-2)-10 equation:


Simplifying
x + -20 = 2(x + -2) + -10

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

Reorder the terms:
-20 + x = 2(-2 + x) + -10
-20 + x = (-2 * 2 + x * 2) + -10
-20 + x = (-4 + 2x) + -10

Reorder the terms:
-20 + x = -4 + -10 + 2x

Combine like terms: -4 + -10 = -14
-20 + x = -14 + 2x

Solving
-20 + x = -14 + 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.
-20 + x + -2x = -14 + 2x + -2x

Combine like terms: x + -2x = -1x
-20 + -1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + -1x = -14 + 0
-20 + -1x = -14

Add '20' to each side of the equation.
-20 + 20 + -1x = -14 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = -14 + 20
-1x = -14 + 20

Combine like terms: -14 + 20 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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