(5x+1)+(8x-20)=90

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Solution for (5x+1)+(8x-20)=90 equation:


Simplifying
(5x + 1) + (8x + -20) = 90

Reorder the terms:
(1 + 5x) + (8x + -20) = 90

Remove parenthesis around (1 + 5x)
1 + 5x + (8x + -20) = 90

Reorder the terms:
1 + 5x + (-20 + 8x) = 90

Remove parenthesis around (-20 + 8x)
1 + 5x + -20 + 8x = 90

Reorder the terms:
1 + -20 + 5x + 8x = 90

Combine like terms: 1 + -20 = -19
-19 + 5x + 8x = 90

Combine like terms: 5x + 8x = 13x
-19 + 13x = 90

Solving
-19 + 13x = 90

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 13x = 90 + 19

Combine like terms: -19 + 19 = 0
0 + 13x = 90 + 19
13x = 90 + 19

Combine like terms: 90 + 19 = 109
13x = 109

Divide each side by '13'.
x = 8.384615385

Simplifying
x = 8.384615385

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