(3x+5)+(4x-22)=180

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Solution for (3x+5)+(4x-22)=180 equation:


Simplifying
(3x + 5) + (4x + -22) = 180

Reorder the terms:
(5 + 3x) + (4x + -22) = 180

Remove parenthesis around (5 + 3x)
5 + 3x + (4x + -22) = 180

Reorder the terms:
5 + 3x + (-22 + 4x) = 180

Remove parenthesis around (-22 + 4x)
5 + 3x + -22 + 4x = 180

Reorder the terms:
5 + -22 + 3x + 4x = 180

Combine like terms: 5 + -22 = -17
-17 + 3x + 4x = 180

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

Solving
-17 + 7x = 180

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 7x = 180 + 17

Combine like terms: -17 + 17 = 0
0 + 7x = 180 + 17
7x = 180 + 17

Combine like terms: 180 + 17 = 197
7x = 197

Divide each side by '7'.
x = 28.14285714

Simplifying
x = 28.14285714

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