3(4X+5)=5(2X+2)

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


Simplifying
3(4X + 5) = 5(2X + 2)

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

Reorder the terms:
15 + 12X = 5(2 + 2X)
15 + 12X = (2 * 5 + 2X * 5)
15 + 12X = (10 + 10X)

Solving
15 + 12X = 10 + 10X

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
15 + 12X + -10X = 10 + 10X + -10X

Combine like terms: 12X + -10X = 2X
15 + 2X = 10 + 10X + -10X

Combine like terms: 10X + -10X = 0
15 + 2X = 10 + 0
15 + 2X = 10

Add '-15' to each side of the equation.
15 + -15 + 2X = 10 + -15

Combine like terms: 15 + -15 = 0
0 + 2X = 10 + -15
2X = 10 + -15

Combine like terms: 10 + -15 = -5
2X = -5

Divide each side by '2'.
X = -2.5

Simplifying
X = -2.5

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