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

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

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

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

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

Combine like terms: 6 + 3 = 9
6 + 2x = 5(9 + 2x)
6 + 2x = (9 * 5 + 2x * 5)
6 + 2x = (45 + 10x)

Solving
6 + 2x = 45 + 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 + 2x + -10x = 45 + 10x + -10x

Combine like terms: 2x + -10x = -8x
6 + -8x = 45 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -8x = 45 + 0
6 + -8x = 45

Add '-6' to each side of the equation.
6 + -6 + -8x = 45 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 45 + -6
-8x = 45 + -6

Combine like terms: 45 + -6 = 39
-8x = 39

Divide each side by '-8'.
x = -4.875

Simplifying
x = -4.875