7(x+6)+x=4(x+3)5

Solution for 7(x+6)+x=4(x+3)5 equation:

Simplifying
7(x + 6) + x = 4(x + 3) * 5

Reorder the terms:
7(6 + x) + x = 4(x + 3) * 5
(6 * 7 + x * 7) + x = 4(x + 3) * 5
(42 + 7x) + x = 4(x + 3) * 5

Combine like terms: 7x + x = 8x
42 + 8x = 4(x + 3) * 5

Reorder the terms:
42 + 8x = 4(3 + x) * 5

Reorder the terms for easier multiplication:
42 + 8x = 4 * 5(3 + x)

Multiply 4 * 5
42 + 8x = 20(3 + x)
42 + 8x = (3 * 20 + x * 20)
42 + 8x = (60 + 20x)

Solving
42 + 8x = 60 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
42 + 8x + -20x = 60 + 20x + -20x

Combine like terms: 8x + -20x = -12x
42 + -12x = 60 + 20x + -20x

Combine like terms: 20x + -20x = 0
42 + -12x = 60 + 0
42 + -12x = 60

Add '-42' to each side of the equation.
42 + -42 + -12x = 60 + -42

Combine like terms: 42 + -42 = 0
0 + -12x = 60 + -42
-12x = 60 + -42

Combine like terms: 60 + -42 = 18
-12x = 18

Divide each side by '-12'.
x = -1.5

Simplifying
x = -1.5