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

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


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

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

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

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

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

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

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

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

Combine like terms: 5x + 2x = 7x
-2 + 7x = 40

Solving
-2 + 7x = 40

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 7x = 40 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 40 + 2
7x = 40 + 2

Combine like terms: 40 + 2 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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