(5x-2)+(3x+4)=90

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Solution for (5x-2)+(3x+4)=90 equation:


Simplifying
(5x + -2) + (3x + 4) = 90

Reorder the terms:
(-2 + 5x) + (3x + 4) = 90

Remove parenthesis around (-2 + 5x)
-2 + 5x + (3x + 4) = 90

Reorder the terms:
-2 + 5x + (4 + 3x) = 90

Remove parenthesis around (4 + 3x)
-2 + 5x + 4 + 3x = 90

Reorder the terms:
-2 + 4 + 5x + 3x = 90

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

Combine like terms: 5x + 3x = 8x
2 + 8x = 90

Solving
2 + 8x = 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 + 8x = 90 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 90 + -2
8x = 90 + -2

Combine like terms: 90 + -2 = 88
8x = 88

Divide each side by '8'.
x = 11

Simplifying
x = 11

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