(17x-21)+(5x+23)=90

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Solution for (17x-21)+(5x+23)=90 equation:


Simplifying
(17x + -21) + (5x + 23) = 90

Reorder the terms:
(-21 + 17x) + (5x + 23) = 90

Remove parenthesis around (-21 + 17x)
-21 + 17x + (5x + 23) = 90

Reorder the terms:
-21 + 17x + (23 + 5x) = 90

Remove parenthesis around (23 + 5x)
-21 + 17x + 23 + 5x = 90

Reorder the terms:
-21 + 23 + 17x + 5x = 90

Combine like terms: -21 + 23 = 2
2 + 17x + 5x = 90

Combine like terms: 17x + 5x = 22x
2 + 22x = 90

Solving
2 + 22x = 90

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 22x = 90 + -2

Combine like terms: 2 + -2 = 0
0 + 22x = 90 + -2
22x = 90 + -2

Combine like terms: 90 + -2 = 88
22x = 88

Divide each side by '22'.
x = 4

Simplifying
x = 4

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