(3x-7)+(x-9)=180

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Solution for (3x-7)+(x-9)=180 equation:


Simplifying
(3x + -7) + (x + -9) = 180

Reorder the terms:
(-7 + 3x) + (x + -9) = 180

Remove parenthesis around (-7 + 3x)
-7 + 3x + (x + -9) = 180

Reorder the terms:
-7 + 3x + (-9 + x) = 180

Remove parenthesis around (-9 + x)
-7 + 3x + -9 + x = 180

Reorder the terms:
-7 + -9 + 3x + x = 180

Combine like terms: -7 + -9 = -16
-16 + 3x + x = 180

Combine like terms: 3x + x = 4x
-16 + 4x = 180

Solving
-16 + 4x = 180

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 4x = 180 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = 180 + 16
4x = 180 + 16

Combine like terms: 180 + 16 = 196
4x = 196

Divide each side by '4'.
x = 49

Simplifying
x = 49

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