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0 4(3x-0 5)=1 5x+0 2(x+1)

less than a minute read Jun 17, 2024
0 4(3x-0 5)=1 5x+0 2(x+1)

Solving the Equation: 0.4(3x - 0.5) = 1.5x + 0.2(x + 1)

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

Step 1: Distribute

Begin by distributing the constants outside the parentheses:

  • 0.4(3x - 0.5) = 1.5x + 0.2(x + 1)
  • 1.2x - 0.2 = 1.5x + 0.2x + 0.2

Step 2: Combine Like Terms

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

  • 1.2x - 0.2 = 1.7x + 0.2

Step 3: Isolate the Variable

Subtract 1.2x from both sides to isolate the 'x' term on the right side:

  • -0.2 = 0.5x + 0.2

Subtract 0.2 from both sides:

  • -0.4 = 0.5x

Step 4: Solve for 'x'

Divide both sides by 0.5 to solve for 'x':

  • -0.4 / 0.5 = x
  • -0.8 = x

Therefore, the solution to the equation 0.4(3x - 0.5) = 1.5x + 0.2(x + 1) is x = -0.8.

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