Final answer:
To solve the equation (19(4) + 31x/-5 = 12), we performed arithmetic operations to simplify the equation, followed by algebraic manipulation to isolate and solve for x.
Step-by-step explanation:
To solve the given equation (19(4) + 31x/-5 = 12), let's first clarify the equation by performing the multiplication and division:
- Multiply 19 by 4 to get 76.
- Divide 31x by -5 to simplify the x term.
Now the equation looks like (76 - (31x/5) = 12). We want to isolate x, so let's proceed with the following steps:
- Subtract 76 from both sides of the equation: - (31x/5) = 12 - 76.
- Simplify the right side: - (31x/5) = -64.
- Multiply both sides by -5 to get rid of the fraction: 31x = 64 * 5.
- Now, divide both sides by 31 to solve for x: x = (64 * 5) / 31.
After calculating the final division, you will get the value for x.