0 8(5-x)-1 2(x+4)=-2 8

Jasonbradley

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Jun 17, 2024

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Solving the Equation: 0.8(5-x) - 1.2(x+4) = -2.8

This article will guide you through the steps of solving the given linear equation.

Step 1: Distribute

Begin by distributing the coefficients on both sides of the equation:

0.8(5-x) - 1.2(x+4) = -2.8
4 - 0.8x - 1.2x - 4.8 = -2.8

Step 2: Combine Like Terms

Combine the 'x' terms and the constant terms on the left side of the equation:

-2x - 0.8 = -2.8

Step 3: Isolate the Variable

Add 0.8 to both sides of the equation to isolate the 'x' term:

-2x = -2

Step 4: Solve for x

Divide both sides of the equation by -2 to solve for 'x':

x = 1

Conclusion

Therefore, the solution to the equation 0.8(5-x) - 1.2(x+4) = -2.8 is x = 1.