Question

0.4(х-3)+2.5=0.5(4+х)

Answer 1

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Answer 2

To solve the equation 0.4(x-3) + 2.5 = 0.5(4+x), follow these steps:

Step 1: Distribute the values on both sides of the equation: 0.4x - 1.2 + 2.5 = 2 + 0.5x

Step 2: Combine like terms: 0.4x + 1.3 = 2 + 0.5x

Step 3: Get all the x terms on one side and the constant terms on the other side. To do this, subtract 0.4x from both sides of the equation: 0.4x - 0.4x + 1.3 = 2 + 0.5x - 0.4x

Simplifying: 1.3 = 2 + 0.1x

Step 4: Now, isolate the x-term on one side by subtracting 2 from both sides of the equation: 1.3 - 2 = 2 + 0.1x - 2

Simplifying: -0.7 = 0.1x

Step 5: Finally, solve for x by dividing both sides by 0.1: x = -0.7 / 0.1

Simplifying: x = -7

So the solution to the equation is x = -7.