(6x+1)+(4x-6)+(45)=180

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Solution for (6x+1)+(4x-6)+(45)=180 equation:


Simplifying
(6x + 1) + (4x + -6) + (45) = 180

Reorder the terms:
(1 + 6x) + (4x + -6) + (45) = 180

Remove parenthesis around (1 + 6x)
1 + 6x + (4x + -6) + (45) = 180

Reorder the terms:
1 + 6x + (-6 + 4x) + (45) = 180

Remove parenthesis around (-6 + 4x)
1 + 6x + -6 + 4x + (45) = 180
1 + 6x + -6 + 4x + 45 = 180

Reorder the terms:
1 + -6 + 45 + 6x + 4x = 180

Combine like terms: 1 + -6 = -5
-5 + 45 + 6x + 4x = 180

Combine like terms: -5 + 45 = 40
40 + 6x + 4x = 180

Combine like terms: 6x + 4x = 10x
40 + 10x = 180

Solving
40 + 10x = 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 + 10x = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 10x = 180 + -40
10x = 180 + -40

Combine like terms: 180 + -40 = 140
10x = 140

Divide each side by '10'.
x = 14

Simplifying
x = 14

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