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

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


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

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

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

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

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

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

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

Combine like terms: 4x + x = 5x
-5 + 5x = 180

Solving
-5 + 5x = 180

Solving for variable 'x'.

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

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

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

Combine like terms: 180 + 5 = 185
5x = 185

Divide each side by '5'.
x = 37

Simplifying
x = 37

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