(x-9)-(x+6)=4x

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Solution for (x-9)-(x+6)=4x equation:


Simplifying
(x + -9) + -1(x + 6) = 4x

Reorder the terms:
(-9 + x) + -1(x + 6) = 4x

Remove parenthesis around (-9 + x)
-9 + x + -1(x + 6) = 4x

Reorder the terms:
-9 + x + -1(6 + x) = 4x
-9 + x + (6 * -1 + x * -1) = 4x
-9 + x + (-6 + -1x) = 4x

Reorder the terms:
-9 + -6 + x + -1x = 4x

Combine like terms: -9 + -6 = -15
-15 + x + -1x = 4x

Combine like terms: x + -1x = 0
-15 + 0 = 4x
-15 = 4x

Solving
-15 = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + -4x = 0

Add '15' to each side of the equation.
-15 + 15 + -4x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -4x = 0 + 15
-4x = 0 + 15

Combine like terms: 0 + 15 = 15
-4x = 15

Divide each side by '-4'.
x = -3.75

Simplifying
x = -3.75

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