(3x-7)+(7x-43)=180

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Solution for (3x-7)+(7x-43)=180 equation:


Simplifying
(3x + -7) + (7x + -43) = 180

Reorder the terms:
(-7 + 3x) + (7x + -43) = 180

Remove parenthesis around (-7 + 3x)
-7 + 3x + (7x + -43) = 180

Reorder the terms:
-7 + 3x + (-43 + 7x) = 180

Remove parenthesis around (-43 + 7x)
-7 + 3x + -43 + 7x = 180

Reorder the terms:
-7 + -43 + 3x + 7x = 180

Combine like terms: -7 + -43 = -50
-50 + 3x + 7x = 180

Combine like terms: 3x + 7x = 10x
-50 + 10x = 180

Solving
-50 + 10x = 180

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 10x = 180 + 50

Combine like terms: -50 + 50 = 0
0 + 10x = 180 + 50
10x = 180 + 50

Combine like terms: 180 + 50 = 230
10x = 230

Divide each side by '10'.
x = 23

Simplifying
x = 23

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