(9x+10)-(12x-5)=90

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Solution for (9x+10)-(12x-5)=90 equation:


Simplifying
(9x + 10) + -1(12x + -5) = 90

Reorder the terms:
(10 + 9x) + -1(12x + -5) = 90

Remove parenthesis around (10 + 9x)
10 + 9x + -1(12x + -5) = 90

Reorder the terms:
10 + 9x + -1(-5 + 12x) = 90
10 + 9x + (-5 * -1 + 12x * -1) = 90
10 + 9x + (5 + -12x) = 90

Reorder the terms:
10 + 5 + 9x + -12x = 90

Combine like terms: 10 + 5 = 15
15 + 9x + -12x = 90

Combine like terms: 9x + -12x = -3x
15 + -3x = 90

Solving
15 + -3x = 90

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -3x = 90 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = 90 + -15
-3x = 90 + -15

Combine like terms: 90 + -15 = 75
-3x = 75

Divide each side by '-3'.
x = -25

Simplifying
x = -25

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