(7x-13)+(8x-7)=360

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Solution for (7x-13)+(8x-7)=360 equation:


Simplifying
(7x + -13) + (8x + -7) = 360

Reorder the terms:
(-13 + 7x) + (8x + -7) = 360

Remove parenthesis around (-13 + 7x)
-13 + 7x + (8x + -7) = 360

Reorder the terms:
-13 + 7x + (-7 + 8x) = 360

Remove parenthesis around (-7 + 8x)
-13 + 7x + -7 + 8x = 360

Reorder the terms:
-13 + -7 + 7x + 8x = 360

Combine like terms: -13 + -7 = -20
-20 + 7x + 8x = 360

Combine like terms: 7x + 8x = 15x
-20 + 15x = 360

Solving
-20 + 15x = 360

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 15x = 360 + 20

Combine like terms: -20 + 20 = 0
0 + 15x = 360 + 20
15x = 360 + 20

Combine like terms: 360 + 20 = 380
15x = 380

Divide each side by '15'.
x = 25.33333333

Simplifying
x = 25.33333333

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