%3D0-6%2B0-2(x%2B4).jpeg "0 3(x-2)=0 6+0 2(x+4)")
Solving the Equation: 0.3(x-2) = 0.6 + 0.2(x+4)
This article will guide you through solving the linear equation 0.3(x-2) = 0.6 + 0.2(x+4).
Step 1: Distribute
Begin by distributing the coefficients on both sides of the equation:
- Left side: 0.3(x-2) = 0.3x - 0.6
- Right side: 0.6 + 0.2(x+4) = 0.6 + 0.2x + 0.8
The equation now becomes: 0.3x - 0.6 = 0.6 + 0.2x + 0.8
Step 2: Combine Like Terms
Combine the constant terms on the right side of the equation:
0.3x - 0.6 = 1.4 + 0.2x
Step 3: Isolate the x Term
Subtract 0.2x from both sides of the equation:
0.1x - 0.6 = 1.4
Step 4: Isolate x
Add 0.6 to both sides of the equation:
0.1x = 2
Step 5: Solve for x
Finally, divide both sides by 0.1 to isolate x:
x = 20
Solution
Therefore, the solution to the equation 0.3(x-2) = 0.6 + 0.2(x+4) is x = 20.