(5x+4)+(8x-71)=180

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Solution for (5x+4)+(8x-71)=180 equation:


Simplifying
(5x + 4) + (8x + -71) = 180

Reorder the terms:
(4 + 5x) + (8x + -71) = 180

Remove parenthesis around (4 + 5x)
4 + 5x + (8x + -71) = 180

Reorder the terms:
4 + 5x + (-71 + 8x) = 180

Remove parenthesis around (-71 + 8x)
4 + 5x + -71 + 8x = 180

Reorder the terms:
4 + -71 + 5x + 8x = 180

Combine like terms: 4 + -71 = -67
-67 + 5x + 8x = 180

Combine like terms: 5x + 8x = 13x
-67 + 13x = 180

Solving
-67 + 13x = 180

Solving for variable 'x'.

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

Add '67' to each side of the equation.
-67 + 67 + 13x = 180 + 67

Combine like terms: -67 + 67 = 0
0 + 13x = 180 + 67
13x = 180 + 67

Combine like terms: 180 + 67 = 247
13x = 247

Divide each side by '13'.
x = 19

Simplifying
x = 19

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