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

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


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

Reorder the terms:
2(5 + X) = 3(2X + -1)
(5 * 2 + X * 2) = 3(2X + -1)
(10 + 2X) = 3(2X + -1)

Reorder the terms:
10 + 2X = 3(-1 + 2X)
10 + 2X = (-1 * 3 + 2X * 3)
10 + 2X = (-3 + 6X)

Solving
10 + 2X = -3 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
10 + 2X + -6X = -3 + 6X + -6X

Combine like terms: 2X + -6X = -4X
10 + -4X = -3 + 6X + -6X

Combine like terms: 6X + -6X = 0
10 + -4X = -3 + 0
10 + -4X = -3

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

Combine like terms: 10 + -10 = 0
0 + -4X = -3 + -10
-4X = -3 + -10

Combine like terms: -3 + -10 = -13
-4X = -13

Divide each side by '-4'.
X = 3.25

Simplifying
X = 3.25

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