3(2x+1)=10-x

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


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

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

Solving
3 + 6x = 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.
3 + 6x + x = 10 + -1x + x

Combine like terms: 6x + x = 7x
3 + 7x = 10 + -1x + x

Combine like terms: -1x + x = 0
3 + 7x = 10 + 0
3 + 7x = 10

Add '-3' to each side of the equation.
3 + -3 + 7x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 10 + -3
7x = 10 + -3

Combine like terms: 10 + -3 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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