(5x-7)+(10-x)=15

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Solution for (5x-7)+(10-x)=15 equation:


Simplifying
(5x + -7) + (10 + -1x) = 15

Reorder the terms:
(-7 + 5x) + (10 + -1x) = 15

Remove parenthesis around (-7 + 5x)
-7 + 5x + (10 + -1x) = 15

Remove parenthesis around (10 + -1x)
-7 + 5x + 10 + -1x = 15

Reorder the terms:
-7 + 10 + 5x + -1x = 15

Combine like terms: -7 + 10 = 3
3 + 5x + -1x = 15

Combine like terms: 5x + -1x = 4x
3 + 4x = 15

Solving
3 + 4x = 15

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 15 + -3
4x = 15 + -3

Combine like terms: 15 + -3 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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