20-(6-5x)=2(3x+1)

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Solution for 20-(6-5x)=2(3x+1) equation:


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

Combine like terms: 20 + -6 = 14
14 + 5x = 2(3x + 1)

Reorder the terms:
14 + 5x = 2(1 + 3x)
14 + 5x = (1 * 2 + 3x * 2)
14 + 5x = (2 + 6x)

Solving
14 + 5x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + 5x + -6x = 2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
14 + -1x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -1x = 2 + 0
14 + -1x = 2

Add '-14' to each side of the equation.
14 + -14 + -1x = 2 + -14

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

Combine like terms: 2 + -14 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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