Solve using two step equation 3/4(x+12)=3

To solve the equation \( \frac{3}{4}(x + 12) = 3 \) using two steps, follow these steps:

### Step 1: Eliminate the fraction
Multiply both sides of the equation by 4/3 to cancel out the fraction:

\[
x + 12 = \frac{3 \times 4}{3} = 4
\]

### Step 2: Solve for \( x \)
Now, subtract 12 from both sides:

\[
x = 4 - 12
\]

\[
x = -8
\]

So, the solution is \( x = -8 \).

Would you like further explanation, or do you have any questions?

Here are five related questions for further practice:
1. Solve \( \frac{2}{3}(x + 9) = 6 \).
2. Solve \( \frac{5}{6}(x - 7) = 10 \).
3. Solve \( \frac{4}{5}(x + 3) = 8 \).
4. Solve \( \frac{7}{8}(x + 10) = 7 \).
5. Solve \( \frac{2}{5}(x - 4) = 12 \).

**Tip:** Always aim to first eliminate fractions in equations by multiplying both sides by the reciprocal of the fraction.

Learn how to solve the two-step equation 3/4(x + 12) = 3 with a detailed step-by-step solution. This problem covers key algebraic concepts including fraction operations and isolating variables in linear equations. Suitable for students in Grades 6-8.

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