15(X+10)=12(3X+2)

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Solution for 15(X+10)=12(3X+2) equation:


Simplifying
15(X + 10) = 12(3X + 2)

Reorder the terms:
15(10 + X) = 12(3X + 2)
(10 * 15 + X * 15) = 12(3X + 2)
(150 + 15X) = 12(3X + 2)

Reorder the terms:
150 + 15X = 12(2 + 3X)
150 + 15X = (2 * 12 + 3X * 12)
150 + 15X = (24 + 36X)

Solving
150 + 15X = 24 + 36X

Solving for variable 'X'.

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

Add '-36X' to each side of the equation.
150 + 15X + -36X = 24 + 36X + -36X

Combine like terms: 15X + -36X = -21X
150 + -21X = 24 + 36X + -36X

Combine like terms: 36X + -36X = 0
150 + -21X = 24 + 0
150 + -21X = 24

Add '-150' to each side of the equation.
150 + -150 + -21X = 24 + -150

Combine like terms: 150 + -150 = 0
0 + -21X = 24 + -150
-21X = 24 + -150

Combine like terms: 24 + -150 = -126
-21X = -126

Divide each side by '-21'.
X = 6

Simplifying
X = 6

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