(2x-3)+(3x-12)=90

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Solution for (2x-3)+(3x-12)=90 equation:


Simplifying
(2x + -3) + (3x + -12) = 90

Reorder the terms:
(-3 + 2x) + (3x + -12) = 90

Remove parenthesis around (-3 + 2x)
-3 + 2x + (3x + -12) = 90

Reorder the terms:
-3 + 2x + (-12 + 3x) = 90

Remove parenthesis around (-12 + 3x)
-3 + 2x + -12 + 3x = 90

Reorder the terms:
-3 + -12 + 2x + 3x = 90

Combine like terms: -3 + -12 = -15
-15 + 2x + 3x = 90

Combine like terms: 2x + 3x = 5x
-15 + 5x = 90

Solving
-15 + 5x = 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 + 5x = 90 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 90 + 15
5x = 90 + 15

Combine like terms: 90 + 15 = 105
5x = 105

Divide each side by '5'.
x = 21

Simplifying
x = 21

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