5(3X-1)+12=4(2X+3)+2

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Solution for 5(3X-1)+12=4(2X+3)+2 equation: 


Simplifying
5(3X + -1) + 12 = 4(2X + 3) + 2

Reorder the terms:
5(-1 + 3X) + 12 = 4(2X + 3) + 2
(-1 * 5 + 3X * 5) + 12 = 4(2X + 3) + 2
(-5 + 15X) + 12 = 4(2X + 3) + 2

Reorder the terms:
-5 + 12 + 15X = 4(2X + 3) + 2

Combine like terms: -5 + 12 = 7
7 + 15X = 4(2X + 3) + 2

Reorder the terms:
7 + 15X = 4(3 + 2X) + 2
7 + 15X = (3 * 4 + 2X * 4) + 2
7 + 15X = (12 + 8X) + 2

Reorder the terms:
7 + 15X = 12 + 2 + 8X

Combine like terms: 12 + 2 = 14
7 + 15X = 14 + 8X

Solving
7 + 15X = 14 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
7 + 15X + -8X = 14 + 8X + -8X

Combine like terms: 15X + -8X = 7X
7 + 7X = 14 + 8X + -8X

Combine like terms: 8X + -8X = 0
7 + 7X = 14 + 0
7 + 7X = 14

Add '-7' to each side of the equation.
7 + -7 + 7X = 14 + -7

Combine like terms: 7 + -7 = 0
0 + 7X = 14 + -7
7X = 14 + -7

Combine like terms: 14 + -7 = 7
7X = 7

Divide each side by '7'.
X = 1

Simplifying
X = 1

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