20-(3x-5(6-x))=2x-10

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Solution for 20-(3x-5(6-x))=2x-10 equation:


Simplifying
20 + -1(3x + -5(6 + -1x)) = 2x + -10
20 + -1(3x + (6 * -5 + -1x * -5)) = 2x + -10
20 + -1(3x + (-30 + 5x)) = 2x + -10

Reorder the terms:
20 + -1(-30 + 3x + 5x) = 2x + -10

Combine like terms: 3x + 5x = 8x
20 + -1(-30 + 8x) = 2x + -10
20 + (-30 * -1 + 8x * -1) = 2x + -10
20 + (30 + -8x) = 2x + -10

Combine like terms: 20 + 30 = 50
50 + -8x = 2x + -10

Reorder the terms:
50 + -8x = -10 + 2x

Solving
50 + -8x = -10 + 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.
50 + -8x + -2x = -10 + 2x + -2x

Combine like terms: -8x + -2x = -10x
50 + -10x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
50 + -10x = -10 + 0
50 + -10x = -10

Add '-50' to each side of the equation.
50 + -50 + -10x = -10 + -50

Combine like terms: 50 + -50 = 0
0 + -10x = -10 + -50
-10x = -10 + -50

Combine like terms: -10 + -50 = -60
-10x = -60

Divide each side by '-10'.
x = 6

Simplifying
x = 6

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