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

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

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

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

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

Reorder the terms:
6 + 6x = 10 + 5x + 2x

Combine like terms: 5x + 2x = 7x
6 + 6x = 10 + 7x

Solving
6 + 6x = 10 + 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.
6 + 6x + -7x = 10 + 7x + -7x

Combine like terms: 6x + -7x = -1x
6 + -1x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -1x = 10 + 0
6 + -1x = 10

Add '-6' to each side of the equation.
6 + -6 + -1x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 10 + -6
-1x = 10 + -6

Combine like terms: 10 + -6 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4