(3x-17)+(4x+10)=180

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Solution for (3x-17)+(4x+10)=180 equation:


Simplifying
(3x + -17) + (4x + 10) = 180

Reorder the terms:
(-17 + 3x) + (4x + 10) = 180

Remove parenthesis around (-17 + 3x)
-17 + 3x + (4x + 10) = 180

Reorder the terms:
-17 + 3x + (10 + 4x) = 180

Remove parenthesis around (10 + 4x)
-17 + 3x + 10 + 4x = 180

Reorder the terms:
-17 + 10 + 3x + 4x = 180

Combine like terms: -17 + 10 = -7
-7 + 3x + 4x = 180

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

Solving
-7 + 7x = 180

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 7x = 180 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 180 + 7
7x = 180 + 7

Combine like terms: 180 + 7 = 187
7x = 187

Divide each side by '7'.
x = 26.71428571

Simplifying
x = 26.71428571

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