(13x+2)+90+(16x-7)+90=360

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Solution for (13x+2)+90+(16x-7)+90=360 equation: 


Simplifying
(13x + 2) + 90 + (16x + -7) + 90 = 360

Reorder the terms:
(2 + 13x) + 90 + (16x + -7) + 90 = 360

Remove parenthesis around (2 + 13x)
2 + 13x + 90 + (16x + -7) + 90 = 360

Reorder the terms:
2 + 13x + 90 + (-7 + 16x) + 90 = 360

Remove parenthesis around (-7 + 16x)
2 + 13x + 90 + -7 + 16x + 90 = 360

Reorder the terms:
2 + 90 + -7 + 90 + 13x + 16x = 360

Combine like terms: 2 + 90 = 92
92 + -7 + 90 + 13x + 16x = 360

Combine like terms: 92 + -7 = 85
85 + 90 + 13x + 16x = 360

Combine like terms: 85 + 90 = 175
175 + 13x + 16x = 360

Combine like terms: 13x + 16x = 29x
175 + 29x = 360

Solving
175 + 29x = 360

Solving for variable 'x'.

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

Add '-175' to each side of the equation.
175 + -175 + 29x = 360 + -175

Combine like terms: 175 + -175 = 0
0 + 29x = 360 + -175
29x = 360 + -175

Combine like terms: 360 + -175 = 185
29x = 185

Divide each side by '29'.
x = 6.379310345

Simplifying
x = 6.379310345

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