(x+45)+(6x-5)=180

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Solution for (x+45)+(6x-5)=180 equation:


Simplifying
(x + 45) + (6x + -5) = 180

Reorder the terms:
(45 + x) + (6x + -5) = 180

Remove parenthesis around (45 + x)
45 + x + (6x + -5) = 180

Reorder the terms:
45 + x + (-5 + 6x) = 180

Remove parenthesis around (-5 + 6x)
45 + x + -5 + 6x = 180

Reorder the terms:
45 + -5 + x + 6x = 180

Combine like terms: 45 + -5 = 40
40 + x + 6x = 180

Combine like terms: x + 6x = 7x
40 + 7x = 180

Solving
40 + 7x = 180

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 7x = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 7x = 180 + -40
7x = 180 + -40

Combine like terms: 180 + -40 = 140
7x = 140

Divide each side by '7'.
x = 20

Simplifying
x = 20

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