Question

Question

Solve for x.

78(−32−48x)+36=23(−33x−18)−10x

Enter your answer in the box.

x =

Answer 1

To solve for x, let's simplify the equation step by step.

Starting with the left side of the equation:
78(-32 - 48x) + 36 = 23(-33x - 18) - 10x

Using the distributive property on the left side:
-2496 - 3744x + 36 = -759x - 414 - 10x

Combining like terms on the right side:
-2496 - 3744x + 36 = -769x - 414

Simplifying:
-3744x - 2460 = -769x - 414

Now, let's isolate the x term on one side of the equation.
Adding 769x to both sides:
769x - 3744x - 2460 + 769x = -769x - 414 + 769x

Combining like terms:
538x - 2460 = -414

Adding 2460 to both sides:
538x - 2460 + 2460 = -414 + 2460

Simplifying:
538x = 2046

Dividing both sides by 538:
x = 2046/538

Simplifying the fraction:
x = 3.81

Therefore, x = 3.81.