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

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


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

Reorder the terms:
2(5 + 2X) = 3(X + 5)
(5 * 2 + 2X * 2) = 3(X + 5)
(10 + 4X) = 3(X + 5)

Reorder the terms:
10 + 4X = 3(5 + X)
10 + 4X = (5 * 3 + X * 3)
10 + 4X = (15 + 3X)

Solving
10 + 4X = 15 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
10 + 4X + -3X = 15 + 3X + -3X

Combine like terms: 4X + -3X = 1X
10 + 1X = 15 + 3X + -3X

Combine like terms: 3X + -3X = 0
10 + 1X = 15 + 0
10 + 1X = 15

Add '-10' to each side of the equation.
10 + -10 + 1X = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 1X = 15 + -10
1X = 15 + -10

Combine like terms: 15 + -10 = 5
1X = 5

Divide each side by '1'.
X = 5

Simplifying
X = 5

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