(3x-14)+(2x+10)=90

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Solution for (3x-14)+(2x+10)=90 equation:


Simplifying
(3x + -14) + (2x + 10) = 90

Reorder the terms:
(-14 + 3x) + (2x + 10) = 90

Remove parenthesis around (-14 + 3x)
-14 + 3x + (2x + 10) = 90

Reorder the terms:
-14 + 3x + (10 + 2x) = 90

Remove parenthesis around (10 + 2x)
-14 + 3x + 10 + 2x = 90

Reorder the terms:
-14 + 10 + 3x + 2x = 90

Combine like terms: -14 + 10 = -4
-4 + 3x + 2x = 90

Combine like terms: 3x + 2x = 5x
-4 + 5x = 90

Solving
-4 + 5x = 90

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = 90 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 90 + 4
5x = 90 + 4

Combine like terms: 90 + 4 = 94
5x = 94

Divide each side by '5'.
x = 18.8

Simplifying
x = 18.8

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