2x+(3x+1)+(5x-2)=180

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Solution for 2x+(3x+1)+(5x-2)=180 equation:


Simplifying
2x + (3x + 1) + (5x + -2) = 180

Reorder the terms:
2x + (1 + 3x) + (5x + -2) = 180

Remove parenthesis around (1 + 3x)
2x + 1 + 3x + (5x + -2) = 180

Reorder the terms:
2x + 1 + 3x + (-2 + 5x) = 180

Remove parenthesis around (-2 + 5x)
2x + 1 + 3x + -2 + 5x = 180

Reorder the terms:
1 + -2 + 2x + 3x + 5x = 180

Combine like terms: 1 + -2 = -1
-1 + 2x + 3x + 5x = 180

Combine like terms: 2x + 3x = 5x
-1 + 5x + 5x = 180

Combine like terms: 5x + 5x = 10x
-1 + 10x = 180

Solving
-1 + 10x = 180

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 10x = 180 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = 180 + 1
10x = 180 + 1

Combine like terms: 180 + 1 = 181
10x = 181

Divide each side by '10'.
x = 18.1

Simplifying
x = 18.1

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