2(x+5)-(x+4)=7x+1

Solution for 2(x+5)-(x+4)=7x+1 equation:

Simplifying
2(x + 5) + -1(x + 4) = 7x + 1

Reorder the terms:
2(5 + x) + -1(x + 4) = 7x + 1
(5 * 2 + x * 2) + -1(x + 4) = 7x + 1
(10 + 2x) + -1(x + 4) = 7x + 1

Reorder the terms:
10 + 2x + -1(4 + x) = 7x + 1
10 + 2x + (4 * -1 + x * -1) = 7x + 1
10 + 2x + (-4 + -1x) = 7x + 1

Reorder the terms:
10 + -4 + 2x + -1x = 7x + 1

Combine like terms: 10 + -4 = 6
6 + 2x + -1x = 7x + 1

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

Reorder the terms:
6 + 1x = 1 + 7x

Solving
6 + 1x = 1 + 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 + 1x + -7x = 1 + 7x + -7x

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

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

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

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

Combine like terms: 1 + -6 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333