3(2x+1)=7x-2-2x

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Solution for 3(2x+1)=7x-2-2x equation:


Simplifying
3(2x + 1) = 7x + -2 + -2x

Reorder the terms:
3(1 + 2x) = 7x + -2 + -2x
(1 * 3 + 2x * 3) = 7x + -2 + -2x
(3 + 6x) = 7x + -2 + -2x

Reorder the terms:
3 + 6x = -2 + 7x + -2x

Combine like terms: 7x + -2x = 5x
3 + 6x = -2 + 5x

Solving
3 + 6x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 6x + -5x = -2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
3 + 1x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + 1x = -2 + 0
3 + 1x = -2

Add '-3' to each side of the equation.
3 + -3 + 1x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = -2 + -3
1x = -2 + -3

Combine like terms: -2 + -3 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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