-1(x+12)+8(x+1)=10

Solution for -1(x+12)+8(x+1)=10 equation:

Simplifying
-1(x + 12) + 8(x + 1) = 10

Reorder the terms:
-1(12 + x) + 8(x + 1) = 10
(12 * -1 + x * -1) + 8(x + 1) = 10
(-12 + -1x) + 8(x + 1) = 10

Reorder the terms:
-12 + -1x + 8(1 + x) = 10
-12 + -1x + (1 * 8 + x * 8) = 10
-12 + -1x + (8 + 8x) = 10

Reorder the terms:
-12 + 8 + -1x + 8x = 10

Combine like terms: -12 + 8 = -4
-4 + -1x + 8x = 10

Combine like terms: -1x + 8x = 7x
-4 + 7x = 10

Solving
-4 + 7x = 10

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 7x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 10 + 4
7x = 10 + 4

Combine like terms: 10 + 4 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2