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

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


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

Reorder the terms:
3(-1 + 2x) + 5 = 5(x + 1)
(-1 * 3 + 2x * 3) + 5 = 5(x + 1)
(-3 + 6x) + 5 = 5(x + 1)

Reorder the terms:
-3 + 5 + 6x = 5(x + 1)

Combine like terms: -3 + 5 = 2
2 + 6x = 5(x + 1)

Reorder the terms:
2 + 6x = 5(1 + x)
2 + 6x = (1 * 5 + x * 5)
2 + 6x = (5 + 5x)

Solving
2 + 6x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 6x + -5x = 5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
2 + 1x = 5 + 0
2 + 1x = 5

Add '-2' to each side of the equation.
2 + -2 + 1x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 5 + -2
1x = 5 + -2

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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