2x-(x+4)+10=6(x+1)-5

Solution for 2x-(x+4)+10=6(x+1)-5 equation:

Simplifying
2x + -1(x + 4) + 10 = 6(x + 1) + -5

Reorder the terms:
2x + -1(4 + x) + 10 = 6(x + 1) + -5
2x + (4 * -1 + x * -1) + 10 = 6(x + 1) + -5
2x + (-4 + -1x) + 10 = 6(x + 1) + -5

Reorder the terms:
-4 + 10 + 2x + -1x = 6(x + 1) + -5

Combine like terms: -4 + 10 = 6
6 + 2x + -1x = 6(x + 1) + -5

Combine like terms: 2x + -1x = 1x
6 + 1x = 6(x + 1) + -5

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

Reorder the terms:
6 + 1x = 6 + -5 + 6x

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

Solving
6 + 1x = 1 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
6 + -5x = 1 + 0
6 + -5x = 1

Add '-6' to each side of the equation.
6 + -6 + -5x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 1 + -6
-5x = 1 + -6

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

Divide each side by '-5'.
x = 1

Simplifying
x = 1