2(x+4)+1=-6+7x

Solution for 2(x+4)+1=-6+7x equation:

Simplifying
2(x + 4) + 1 = -6 + 7x

Reorder the terms:
2(4 + x) + 1 = -6 + 7x
(4 * 2 + x * 2) + 1 = -6 + 7x
(8 + 2x) + 1 = -6 + 7x

Reorder the terms:
8 + 1 + 2x = -6 + 7x

Combine like terms: 8 + 1 = 9
9 + 2x = -6 + 7x

Solving
9 + 2x = -6 + 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.
9 + 2x + -7x = -6 + 7x + -7x

Combine like terms: 2x + -7x = -5x
9 + -5x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -5x = -6 + 0
9 + -5x = -6

Add '-9' to each side of the equation.
9 + -9 + -5x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -6 + -9
-5x = -6 + -9

Combine like terms: -6 + -9 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3