(2x-7)+(3x-34)=180

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Solution for (2x-7)+(3x-34)=180 equation:


Simplifying
(2x + -7) + (3x + -34) = 180

Reorder the terms:
(-7 + 2x) + (3x + -34) = 180

Remove parenthesis around (-7 + 2x)
-7 + 2x + (3x + -34) = 180

Reorder the terms:
-7 + 2x + (-34 + 3x) = 180

Remove parenthesis around (-34 + 3x)
-7 + 2x + -34 + 3x = 180

Reorder the terms:
-7 + -34 + 2x + 3x = 180

Combine like terms: -7 + -34 = -41
-41 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
-41 + 5x = 180

Solving
-41 + 5x = 180

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + 5x = 180 + 41

Combine like terms: -41 + 41 = 0
0 + 5x = 180 + 41
5x = 180 + 41

Combine like terms: 180 + 41 = 221
5x = 221

Divide each side by '5'.
x = 44.2

Simplifying
x = 44.2

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