0 2(x-3)=0 4(7-x)-4 6

Jasonbradley

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Jun 17, 2024

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Solving the Equation: 0.2(x-3) = 0.4(7-x) - 4.6

This article will guide you through the steps of solving the equation 0.2(x-3) = 0.4(7-x) - 4.6.

Step 1: Distribute

Start by distributing the constants on both sides of the equation:

• 0.2(x-3) = 0.4(7-x) - 4.6
• 0.2x - 0.6 = 2.8 - 0.4x - 4.6

Step 2: Combine Like Terms

Next, combine the constant terms on the right side of the equation:

• 0.2x - 0.6 = -1.8 - 0.4x

Step 3: Isolate the Variable

To isolate the variable 'x', add 0.4x to both sides of the equation:

• 0.2x - 0.6 + 0.4x = -1.8 - 0.4x + 0.4x
• 0.6x - 0.6 = -1.8

Step 4: Continue Isolating the Variable

Add 0.6 to both sides of the equation:

• 0.6x - 0.6 + 0.6 = -1.8 + 0.6
• 0.6x = -1.2

Step 5: Solve for x

Finally, divide both sides by 0.6 to solve for 'x':

• 0.6x / 0.6 = -1.2 / 0.6
• x = -2

Solution

Therefore, the solution to the equation 0.2(x-3) = 0.4(7-x) - 4.6 is x = -2.