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

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

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

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

Remove parenthesis around (1 + 3x)
5 + 1 + 3x = 5(x + 1) * 2

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

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

Reorder the terms for easier multiplication:
6 + 3x = 5 * 2(1 + x)

Multiply 5 * 2
6 + 3x = 10(1 + x)
6 + 3x = (1 * 10 + x * 10)
6 + 3x = (10 + 10x)

Solving
6 + 3x = 10 + 10x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -10x = -7x
6 + -7x = 10 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -7x = 10 + 0
6 + -7x = 10

Add '-6' to each side of the equation.
6 + -6 + -7x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 10 + -6
-7x = 10 + -6

Combine like terms: 10 + -6 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714