5x+7=2(3x-1)

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Solution for 5x+7=2(3x-1) equation:


Simplifying
5x + 7 = 2(3x + -1)

Reorder the terms:
7 + 5x = 2(3x + -1)

Reorder the terms:
7 + 5x = 2(-1 + 3x)
7 + 5x = (-1 * 2 + 3x * 2)
7 + 5x = (-2 + 6x)

Solving
7 + 5x = -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 + 5x + -6x = -2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
7 + -1x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -1x = -2 + 0
7 + -1x = -2

Add '-7' to each side of the equation.
7 + -7 + -1x = -2 + -7

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

Combine like terms: -2 + -7 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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