(x-9)-(x+8)=4x

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Solution for (x-9)-(x+8)=4x equation:


Simplifying
(x + -9) + -1(x + 8) = 4x

Reorder the terms:
(-9 + x) + -1(x + 8) = 4x

Remove parenthesis around (-9 + x)
-9 + x + -1(x + 8) = 4x

Reorder the terms:
-9 + x + -1(8 + x) = 4x
-9 + x + (8 * -1 + x * -1) = 4x
-9 + x + (-8 + -1x) = 4x

Reorder the terms:
-9 + -8 + x + -1x = 4x

Combine like terms: -9 + -8 = -17
-17 + x + -1x = 4x

Combine like terms: x + -1x = 0
-17 + 0 = 4x
-17 = 4x

Solving
-17 = 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.
-17 + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
-17 + -4x = 0

Add '17' to each side of the equation.
-17 + 17 + -4x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -4x = 0 + 17
-4x = 0 + 17

Combine like terms: 0 + 17 = 17
-4x = 17

Divide each side by '-4'.
x = -4.25

Simplifying
x = -4.25

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