3(7-2x)+2=3(4x-1)

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Solution for 3(7-2x)+2=3(4x-1) equation: 


Simplifying
3(7 + -2x) + 2 = 3(4x + -1)
(7 * 3 + -2x * 3) + 2 = 3(4x + -1)
(21 + -6x) + 2 = 3(4x + -1)

Reorder the terms:
21 + 2 + -6x = 3(4x + -1)

Combine like terms: 21 + 2 = 23
23 + -6x = 3(4x + -1)

Reorder the terms:
23 + -6x = 3(-1 + 4x)
23 + -6x = (-1 * 3 + 4x * 3)
23 + -6x = (-3 + 12x)

Solving
23 + -6x = -3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
23 + -6x + -12x = -3 + 12x + -12x

Combine like terms: -6x + -12x = -18x
23 + -18x = -3 + 12x + -12x

Combine like terms: 12x + -12x = 0
23 + -18x = -3 + 0
23 + -18x = -3

Add '-23' to each side of the equation.
23 + -23 + -18x = -3 + -23

Combine like terms: 23 + -23 = 0
0 + -18x = -3 + -23
-18x = -3 + -23

Combine like terms: -3 + -23 = -26
-18x = -26

Divide each side by '-18'.
x = 1.444444444

Simplifying
x = 1.444444444

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