20-x=2(x-15)-1

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Solution for 20-x=2(x-15)-1 equation:


Simplifying
20 + -1x = 2(x + -15) + -1

Reorder the terms:
20 + -1x = 2(-15 + x) + -1
20 + -1x = (-15 * 2 + x * 2) + -1
20 + -1x = (-30 + 2x) + -1

Reorder the terms:
20 + -1x = -30 + -1 + 2x

Combine like terms: -30 + -1 = -31
20 + -1x = -31 + 2x

Solving
20 + -1x = -31 + 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 + -1x + -2x = -31 + 2x + -2x

Combine like terms: -1x + -2x = -3x
20 + -3x = -31 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -3x = -31 + 0
20 + -3x = -31

Add '-20' to each side of the equation.
20 + -20 + -3x = -31 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -31 + -20
-3x = -31 + -20

Combine like terms: -31 + -20 = -51
-3x = -51

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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