(3x-17)+(x+40)+(2x-5)=90

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Solution for (3x-17)+(x+40)+(2x-5)=90 equation:


Simplifying
(3x + -17) + (x + 40) + (2x + -5) = 90

Reorder the terms:
(-17 + 3x) + (x + 40) + (2x + -5) = 90

Remove parenthesis around (-17 + 3x)
-17 + 3x + (x + 40) + (2x + -5) = 90

Reorder the terms:
-17 + 3x + (40 + x) + (2x + -5) = 90

Remove parenthesis around (40 + x)
-17 + 3x + 40 + x + (2x + -5) = 90

Reorder the terms:
-17 + 3x + 40 + x + (-5 + 2x) = 90

Remove parenthesis around (-5 + 2x)
-17 + 3x + 40 + x + -5 + 2x = 90

Reorder the terms:
-17 + 40 + -5 + 3x + x + 2x = 90

Combine like terms: -17 + 40 = 23
23 + -5 + 3x + x + 2x = 90

Combine like terms: 23 + -5 = 18
18 + 3x + x + 2x = 90

Combine like terms: 3x + x = 4x
18 + 4x + 2x = 90

Combine like terms: 4x + 2x = 6x
18 + 6x = 90

Solving
18 + 6x = 90

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 6x = 90 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = 90 + -18
6x = 90 + -18

Combine like terms: 90 + -18 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12

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