%3D3-2-0-8(x-7).jpeg "0 3(8-3x)=3 2-0 8(x-7)")
Solving the Equation: 0.3(8-3x) = 3.2 - 0.8(x-7)
This article will guide you through the steps of solving the linear equation 0.3(8-3x) = 3.2 - 0.8(x-7). Let's break down the process:
Step 1: Distribute
- Left side: Multiply 0.3 by both terms inside the parenthesis:
- 0.3 * 8 = 2.4
- 0.3 * -3x = -0.9x
- Right side: Multiply -0.8 by both terms inside the parenthesis:
- -0.8 * x = -0.8x
- -0.8 * -7 = 5.6
Now the equation becomes: 2.4 - 0.9x = 3.2 - 0.8x + 5.6
Step 2: Combine Like Terms
- Right side: Combine the constant terms: 3.2 + 5.6 = 8.8
The equation is now: 2.4 - 0.9x = 8.8 - 0.8x
Step 3: Isolate the x terms
- Add 0.9x to both sides: 2.4 - 0.9x + 0.9x = 8.8 - 0.8x + 0.9x
- This simplifies to: 2.4 = 8.8 + 0.1x
Step 4: Isolate the Constant Terms
- Subtract 8.8 from both sides: 2.4 - 8.8 = 8.8 + 0.1x - 8.8
- This simplifies to: -6.4 = 0.1x
Step 5: Solve for x
- Divide both sides by 0.1: -6.4 / 0.1 = 0.1x / 0.1
- This results in: x = -64
Solution
Therefore, the solution to the equation 0.3(8-3x) = 3.2 - 0.8(x-7) is x = -64.