0.5(x-0.4)/3.5-0.6(x-2.7)/4.2=x+6.1

2 min read Jun 10, 2024
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.

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