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

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


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

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

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

Reorder the terms:
10 + 2X + 5x = 3(2 + X)
10 + 2X + 5x = (2 * 3 + X * 3)
10 + 2X + 5x = (6 + 3X)

Solving
10 + 2X + 5x = 6 + 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 + 2X + -3X + 5x = 6 + 3X + -3X

Combine like terms: 2X + -3X = -1X
10 + -1X + 5x = 6 + 3X + -3X

Combine like terms: 3X + -3X = 0
10 + -1X + 5x = 6 + 0
10 + -1X + 5x = 6

Add '-10' to each side of the equation.
10 + -1X + -10 + 5x = 6 + -10

Reorder the terms:
10 + -10 + -1X + 5x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -1X + 5x = 6 + -10
-1X + 5x = 6 + -10

Combine like terms: 6 + -10 = -4
-1X + 5x = -4

Add '-5x' to each side of the equation.
-1X + 5x + -5x = -4 + -5x

Combine like terms: 5x + -5x = 0
-1X + 0 = -4 + -5x
-1X = -4 + -5x

Divide each side by '-1'.
X = 4 + 5x

Simplifying
X = 4 + 5x

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