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

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


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

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

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

Solving
5 + 5x = 2 + 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.
5 + 5x + -3x = 2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
5 + 2x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 2x = 2 + 0
5 + 2x = 2

Add '-5' to each side of the equation.
5 + -5 + 2x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 2 + -5
2x = 2 + -5

Combine like terms: 2 + -5 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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