To solve the equation їx/4 + 2x = 14 – 4ї, we first simplify the right side of the equation:
Step 1: Simplify the right side:
- 14 – 4 = 10
So the equation becomes:
x/4 + 2x = 10
Step 2: Eliminate the fraction by multiplying the entire equation by 4:
- 4 * (x/4) + 4 * (2x) = 4 * 10
- This simplifies to:
- x + 8x = 40
Step 3: Combine like terms:
- x + 8x = 9x
Now the equation is:
9x = 40
Step 4: Solve for x by dividing both sides by 9:
- x = 40/9
- This can also be expressed as:
- x ≈ 4.44
Conclusion: Therefore, the solution to the equation is:
x = 40/9 or approximately 4.44.