(3x+7)=(6x+2)

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Solution for (3x+7)=(6x+2) equation:


Simplifying
(3x + 7) = (6x + 2)

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

Remove parenthesis around (7 + 3x)
7 + 3x = (6x + 2)

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

Remove parenthesis around (2 + 6x)
7 + 3x = 2 + 6x

Solving
7 + 3x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + 3x + -6x = 2 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
7 + -3x = 2 + 0
7 + -3x = 2

Add '-7' to each side of the equation.
7 + -7 + -3x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 2 + -7
-3x = 2 + -7

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

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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