5x - (x+4) = 10-2 (x-8)

solve for x

x=5

Step-by-step explanation:

Simplifying

5x + - 1 (x + 4) = 10 + - 2 (x + - 8)

Reorder the terms:

5x + - 1 (4 + x) = 10 + - 2 (x + - 8)

5x + (4 * - 1 + x * - 1) = 10 + - 2 (x + - 8)

5x + (-4 + - 1x) = 10 + - 2 (x + - 8)

Reorder the terms:

-4 + 5x + - 1x = 10 + - 2 (x + - 8)

Combine like terms: 5x + - 1x = 4x

-4 + 4x = 10 + - 2 (x + - 8)

Reorder the terms:

-4 + 4x = 10 + - 2 (-8 + x)

-4 + 4x = 10 + (-8 * - 2 + x * - 2)

-4 + 4x = 10 + (16 + - 2x)

Combine like terms: 10 + 16 = 26

-4 + 4x = 26 + - 2x

Solving

-4 + 4x = 26 + - 2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.

-4 + 4x + 2x = 26 + - 2x + 2x

Combine like terms: 4x + 2x = 6x

-4 + 6x = 26 + - 2x + 2x

Combine like terms: - 2x + 2x = 0

-4 + 6x = 26 + 0

-4 + 6x = 26

Add '4' to each side of the equation.

-4 + 4 + 6x = 26 + 4

Combine like terms: - 4 + 4 = 0

0 + 6x = 26 + 4

6x = 26 + 4

Combine like terms: 26 + 4 = 30

6x = 30

Divide each side by '6'.

x = 5

Simplifying

x = 5