7x-35=10-(x+5)

Solution for 7x-35=10-(x+5) equation:

Simplifying
7x + -35 = 10 + -1(x + 5)

Reorder the terms:
-35 + 7x = 10 + -1(x + 5)

Reorder the terms:
-35 + 7x = 10 + -1(5 + x)
-35 + 7x = 10 + (5 * -1 + x * -1)
-35 + 7x = 10 + (-5 + -1x)

Combine like terms: 10 + -5 = 5
-35 + 7x = 5 + -1x

Solving
-35 + 7x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-35 + 7x + x = 5 + -1x + x

Combine like terms: 7x + x = 8x
-35 + 8x = 5 + -1x + x

Combine like terms: -1x + x = 0
-35 + 8x = 5 + 0
-35 + 8x = 5

Add '35' to each side of the equation.
-35 + 35 + 8x = 5 + 35

Combine like terms: -35 + 35 = 0
0 + 8x = 5 + 35
8x = 5 + 35

Combine like terms: 5 + 35 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5