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

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


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

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

Reorder the terms:
5 + 5x + -3(3 + 2X) = 3(x + 2)
5 + 5x + (3 * -3 + 2X * -3) = 3(x + 2)
5 + 5x + (-9 + -6X) = 3(x + 2)

Reorder the terms:
5 + -9 + -6X + 5x = 3(x + 2)

Combine like terms: 5 + -9 = -4
-4 + -6X + 5x = 3(x + 2)

Reorder the terms:
-4 + -6X + 5x = 3(2 + x)
-4 + -6X + 5x = (2 * 3 + x * 3)
-4 + -6X + 5x = (6 + 3x)

Solving
-4 + -6X + 5x = 6 + 3x

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + -6X + 4 + 5x = 6 + 4 + 3x

Reorder the terms:
-4 + 4 + -6X + 5x = 6 + 4 + 3x

Combine like terms: -4 + 4 = 0
0 + -6X + 5x = 6 + 4 + 3x
-6X + 5x = 6 + 4 + 3x

Combine like terms: 6 + 4 = 10
-6X + 5x = 10 + 3x

Add '-5x' to each side of the equation.
-6X + 5x + -5x = 10 + 3x + -5x

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

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

Divide each side by '-6'.
X = -1.666666667 + 0.3333333333x

Simplifying
X = -1.666666667 + 0.3333333333x

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