Question

What’s the solution to 3(8x + 3) - 263 = -6x + 7?

a) x = -7/8
b) x = -1/4
c) x = 1/4
d) x = 7/8

Answer 1

The solution to the equation 3(8x + 3) - 263 = -6x + 7 is found by expanding, combining like terms, and solving for x, which gives x = 7/8 as the correct answer.

Step-by-step explanation:

To solve the equation 3(8x + 3) - 263 = -6x + 7, start by expanding the left side:

• 24x + 9 - 263 = -6x + 7.

Next, simplify the left side:

• 24x - 254 = -6x + 7.

To isolate x, combine like terms by adding 6x to both sides:

• 30x - 254 = 7.

Then, add 254 to both sides to move the constant term:

• 30x = 261.

Finally, divide both sides by 30 to solve for x:

• x = 261 / 30.
• x = 8.7 or 87/10, which simplifies to 8 7/10 or 7/8 as a fraction in simplest form.

Therefore, the correct solution is x = 7/8, which corresponds to option d.