(x-3)+(x+5)+2x=32

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Solution for (x-3)+(x+5)+2x=32 equation:


Simplifying
(x + -3) + (x + 5) + 2x = 32

Reorder the terms:
(-3 + x) + (x + 5) + 2x = 32

Remove parenthesis around (-3 + x)
-3 + x + (x + 5) + 2x = 32

Reorder the terms:
-3 + x + (5 + x) + 2x = 32

Remove parenthesis around (5 + x)
-3 + x + 5 + x + 2x = 32

Reorder the terms:
-3 + 5 + x + x + 2x = 32

Combine like terms: -3 + 5 = 2
2 + x + x + 2x = 32

Combine like terms: x + x = 2x
2 + 2x + 2x = 32

Combine like terms: 2x + 2x = 4x
2 + 4x = 32

Solving
2 + 4x = 32

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 + 4x = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 32 + -2
4x = 32 + -2

Combine like terms: 32 + -2 = 30
4x = 30

Divide each side by '4'.
x = 7.5

Simplifying
x = 7.5

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