2(3x+1)=10-2x

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Solution for 2(3x+1)=10-2x equation: 


Simplifying
2(3x + 1) = 10 + -2x

Reorder the terms:
2(1 + 3x) = 10 + -2x
(1 * 2 + 3x * 2) = 10 + -2x
(2 + 6x) = 10 + -2x

Solving
2 + 6x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + 6x + 2x = 10 + -2x + 2x

Combine like terms: 6x + 2x = 8x
2 + 8x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 8x = 10 + 0
2 + 8x = 10

Add '-2' to each side of the equation.
2 + -2 + 8x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 10 + -2
8x = 10 + -2

Combine like terms: 10 + -2 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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