(4x-6)+(5x+20)=x

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Solution for (4x-6)+(5x+20)=x equation:


Simplifying
(4x + -6) + (5x + 20) = x

Reorder the terms:
(-6 + 4x) + (5x + 20) = x

Remove parenthesis around (-6 + 4x)
-6 + 4x + (5x + 20) = x

Reorder the terms:
-6 + 4x + (20 + 5x) = x

Remove parenthesis around (20 + 5x)
-6 + 4x + 20 + 5x = x

Reorder the terms:
-6 + 20 + 4x + 5x = x

Combine like terms: -6 + 20 = 14
14 + 4x + 5x = x

Combine like terms: 4x + 5x = 9x
14 + 9x = x

Solving
14 + 9x = x

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.
14 + 9x + -1x = x + -1x

Combine like terms: 9x + -1x = 8x
14 + 8x = x + -1x

Combine like terms: x + -1x = 0
14 + 8x = 0

Add '-14' to each side of the equation.
14 + -14 + 8x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = 0 + -14
8x = 0 + -14

Combine like terms: 0 + -14 = -14
8x = -14

Divide each side by '8'.
x = -1.75

Simplifying
x = -1.75

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