Question

What is the value of in the equation 30x - 50 = 4(2x - 3) + 2(x - 4)?

Answer 1

To solve the given equation, expand and simplify the terms, combine like terms, and then isolate x, which results in the solution x = 1.5.

Step-by-step explanation:

To find the value of x in the equation 30x - 50 = 4(2x - 3) + 2(x - 4), we must first simplify the equation by distributing and combining like terms. We start by expanding the right side of the equation:

1. 4(2x - 3) becomes 8x - 12
2. 2(x - 4) becomes 2x - 8

Now the equation looks like this: 30x - 50 = 8x - 12 + 2x - 8. We combine the x terms and constant terms on the right to get 30x - 50 = 10x - 20.

Next, we move all terms involving x to one side and the constants to the other side:

1. Subtract 10x from both sides: 20x - 50 = -20
2. Add 50 to both sides: 20x = 30

Finally, divide both sides by 20 to isolate x:

x = 1.5