20-(x+6)=6x-7

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Solution for 20-(x+6)=6x-7 equation:


Simplifying
20 + -1(x + 6) = 6x + -7

Reorder the terms:
20 + -1(6 + x) = 6x + -7
20 + (6 * -1 + x * -1) = 6x + -7
20 + (-6 + -1x) = 6x + -7

Combine like terms: 20 + -6 = 14
14 + -1x = 6x + -7

Reorder the terms:
14 + -1x = -7 + 6x

Solving
14 + -1x = -7 + 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 + -1x + -6x = -7 + 6x + -6x

Combine like terms: -1x + -6x = -7x
14 + -7x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -7x = -7 + 0
14 + -7x = -7

Add '-14' to each side of the equation.
14 + -14 + -7x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = -7 + -14
-7x = -7 + -14

Combine like terms: -7 + -14 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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