%2F3.5-0.6(x-2.7)%2F4.2%3Dx%2B6.1.jpeg "0.5(x-0.4)/3.5-0.6(x-2.7)/4.2=x+6.1")
Tentu, berikut artikelnya:
Solving the equation 0.5(x-0.4)/3.5 - 0.6(x-2.7)/4.2 = x+6.1
This article will guide you through the steps on how to solve the equation:
0.5(x-0.4)/3.5 - 0.6(x-2.7)/4.2 = x+6.1
Step 1: Simplify the fractions
- Multiply both sides of the equation by the least common multiple (LCM) of the denominators (3.5 and 4.2), which is 29.4. This will eliminate the fractions.
- Simplify the equation after multiplying:
29.4 * [0.5(x-0.4)/3.5 - 0.6(x-2.7)/4.2] = 29.4 * (x+6.1)
4.2(x-0.4) - 4.2(x-2.7) = 29.4x + 179.94
Step 2: Distribute and combine like terms
- Distribute the 4.2 on the left side of the equation:
4.2x - 1.68 - 4.2x + 11.34 = 29.4x + 179.94
- Combine like terms on the left side:
9.66 = 29.4x + 179.94
Step 3: Isolate the variable
- Subtract 179.94 from both sides:
9.66 - 179.94 = 29.4x
-170.28 = 29.4x
Step 4: Solve for x
- Divide both sides by 29.4:
-170.28 / 29.4 = x
x = -5.79
Solution
Therefore, the solution to the equation 0.5(x-0.4)/3.5 - 0.6(x-2.7)/4.2 = x+6.1 is x = -5.79.
