5(x-2)+x=32

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


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

Reorder the terms:
5(-2 + x) + x = 32
(-2 * 5 + x * 5) + x = 32
(-10 + 5x) + x = 32

Combine like terms: 5x + x = 6x
-10 + 6x = 32

Solving
-10 + 6x = 32

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 6x = 32 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 32 + 10
6x = 32 + 10

Combine like terms: 32 + 10 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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