(3x+1)+(2x-1)+40=180

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Solution for (3x+1)+(2x-1)+40=180 equation:


Simplifying
(3x + 1) + (2x + -1) + 40 = 180

Reorder the terms:
(1 + 3x) + (2x + -1) + 40 = 180

Remove parenthesis around (1 + 3x)
1 + 3x + (2x + -1) + 40 = 180

Reorder the terms:
1 + 3x + (-1 + 2x) + 40 = 180

Remove parenthesis around (-1 + 2x)
1 + 3x + -1 + 2x + 40 = 180

Reorder the terms:
1 + -1 + 40 + 3x + 2x = 180

Combine like terms: 1 + -1 = 0
0 + 40 + 3x + 2x = 180
40 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
40 + 5x = 180

Solving
40 + 5x = 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 + 5x = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 5x = 180 + -40
5x = 180 + -40

Combine like terms: 180 + -40 = 140
5x = 140

Divide each side by '5'.
x = 28

Simplifying
x = 28

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