(3x+40)+(8x+35)+10x=180

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Solution for (3x+40)+(8x+35)+10x=180 equation:


Simplifying
(3x + 40) + (8x + 35) + 10x = 180

Reorder the terms:
(40 + 3x) + (8x + 35) + 10x = 180

Remove parenthesis around (40 + 3x)
40 + 3x + (8x + 35) + 10x = 180

Reorder the terms:
40 + 3x + (35 + 8x) + 10x = 180

Remove parenthesis around (35 + 8x)
40 + 3x + 35 + 8x + 10x = 180

Reorder the terms:
40 + 35 + 3x + 8x + 10x = 180

Combine like terms: 40 + 35 = 75
75 + 3x + 8x + 10x = 180

Combine like terms: 3x + 8x = 11x
75 + 11x + 10x = 180

Combine like terms: 11x + 10x = 21x
75 + 21x = 180

Solving
75 + 21x = 180

Solving for variable 'x'.

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

Add '-75' to each side of the equation.
75 + -75 + 21x = 180 + -75

Combine like terms: 75 + -75 = 0
0 + 21x = 180 + -75
21x = 180 + -75

Combine like terms: 180 + -75 = 105
21x = 105

Divide each side by '21'.
x = 5

Simplifying
x = 5

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