20=2(x-1)-(x-9)

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Solution for 20=2(x-1)-(x-9) equation: 


Simplifying
20 = 2(x + -1) + -1(x + -9)

Reorder the terms:
20 = 2(-1 + x) + -1(x + -9)
20 = (-1 * 2 + x * 2) + -1(x + -9)
20 = (-2 + 2x) + -1(x + -9)

Reorder the terms:
20 = -2 + 2x + -1(-9 + x)
20 = -2 + 2x + (-9 * -1 + x * -1)
20 = -2 + 2x + (9 + -1x)

Reorder the terms:
20 = -2 + 9 + 2x + -1x

Combine like terms: -2 + 9 = 7
20 = 7 + 2x + -1x

Combine like terms: 2x + -1x = 1x
20 = 7 + 1x

Solving
20 = 7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + -1x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
20 + -1x = 7 + 0
20 + -1x = 7

Add '-20' to each side of the equation.
20 + -20 + -1x = 7 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 7 + -20
-1x = 7 + -20

Combine like terms: 7 + -20 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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