2(5x-1)+x=10-x

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Solution for 2(5x-1)+x=10-x equation:


Simplifying
2(5x + -1) + x = 10 + -1x

Reorder the terms:
2(-1 + 5x) + x = 10 + -1x
(-1 * 2 + 5x * 2) + x = 10 + -1x
(-2 + 10x) + x = 10 + -1x

Combine like terms: 10x + x = 11x
-2 + 11x = 10 + -1x

Solving
-2 + 11x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 11x + x = 10 + -1x + x

Combine like terms: 11x + x = 12x
-2 + 12x = 10 + -1x + x

Combine like terms: -1x + x = 0
-2 + 12x = 10 + 0
-2 + 12x = 10

Add '2' to each side of the equation.
-2 + 2 + 12x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 12x = 10 + 2
12x = 10 + 2

Combine like terms: 10 + 2 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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