What is (-4x-2) - (13x+1) =

x = - 3/17

Step-by-step explanation:

Step 1: Distribute the minus sign

(-4x - 2) - (13x + 1)

-4x - 2 - 13x - 1

Step 2: Combine like terms

-4x - 2 - 13x - 1

-17x - 3

Step 3: Solve for x

-17x - 3 = 0

-17x - 3 + 3 = 0 + 3

-17x / - 17 = 3 / - 17

x = - 3/17

Answer: x = - 3/17

Simplifying

(-4x + - 2) + - 1 (13x + 1) = 0

Reorder the terms:

(-2 + - 4x) + - 1 (13x + 1) = 0

Remove parenthesis around (-2 + - 4x)

-2 + - 4x + - 1 (13x + 1) = 0

Reorder the terms:

-2 + - 4x + - 1 (1 + 13x) = 0

-2 + - 4x + (1 * - 1 + 13x * - 1) = 0

-2 + - 4x + (-1 + - 13x) = 0

Reorder the terms:

-2 + - 1 + - 4x + - 13x = 0

Combine like terms: - 2 + - 1 = - 3

-3 + - 4x + - 13x = 0

Combine like terms: - 4x + - 13x = - 17x

-3 + - 17x = 0

Solving

-3 + - 17x = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.

-3 + 3 + - 17x = 0 + 3

Combine like terms: - 3 + 3 = 0

0 + - 17x = 0 + 3

-17x = 0 + 3

Combine like terms: 0 + 3 = 3

-17x = 3

Divide each side by '-17'.

x = - 0.1764705882

Simplifying

x = - 0.1764705882