(7x-2)+(10-3x)=180

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Solution for (7x-2)+(10-3x)=180 equation:


Simplifying
(7x + -2) + (10 + -3x) = 180

Reorder the terms:
(-2 + 7x) + (10 + -3x) = 180

Remove parenthesis around (-2 + 7x)
-2 + 7x + (10 + -3x) = 180

Remove parenthesis around (10 + -3x)
-2 + 7x + 10 + -3x = 180

Reorder the terms:
-2 + 10 + 7x + -3x = 180

Combine like terms: -2 + 10 = 8
8 + 7x + -3x = 180

Combine like terms: 7x + -3x = 4x
8 + 4x = 180

Solving
8 + 4x = 180

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 4x = 180 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 180 + -8
4x = 180 + -8

Combine like terms: 180 + -8 = 172
4x = 172

Divide each side by '4'.
x = 43

Simplifying
x = 43

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