Question

Solve for x.
minus, 4, left bracket, minus, 2, x, plus, 5, right bracket, minus, 5, x, plus, 5, equals, minus, 24
−4(−2x+5)−5x+5=
−24

Answer 1

To solve the equation -4(-2x + 5) - 5x + 5 = -24, we will first distribute the -4 into the parentheses:

-4 * -2x + -4 * 5 - 5x + 5 = -24

This simplifies to:

8x - 20 - 5x + 5 = -24

Combine like terms:

8x - 5x - 20 + 5 = -24
3x - 15 = -24

Next, we will add 15 to both sides of the equation to isolate the term with the variable x:

3x - 15 + 15 = -24 + 15

This simplifies to:

3x = -9

Finally, divide both sides by 3 to solve for x:

3x / 3 = -9 / 3

So:

x = -3

Therefore, x = -3 is the solution to the equation.