2(5x+3)=x+6(x+1)

Solution for 2(5x+3)=x+6(x+1) equation:

Simplifying
2(5x + 3) = x + 6(x + 1)

Reorder the terms:
2(3 + 5x) = x + 6(x + 1)
(3 * 2 + 5x * 2) = x + 6(x + 1)
(6 + 10x) = x + 6(x + 1)

Reorder the terms:
6 + 10x = x + 6(1 + x)
6 + 10x = x + (1 * 6 + x * 6)
6 + 10x = x + (6 + 6x)

Reorder the terms:
6 + 10x = 6 + x + 6x

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

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

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

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

Solving
10x = 7x

Solving for variable 'x'.

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

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

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

Combine like terms: 7x + -7x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0