2(3x+1)=7x

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


Simplifying
2(3x + 1) = 7x

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

Solving
2 + 6x = 7x

Solving for variable 'x'.

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

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

Combine like terms: 6x + -7x = -1x
2 + -1x = 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -1x = 0

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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