Solve for x: 0.2x = 4.

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Multiple Choice

Solve for x: 0.2x = 4.

Explanation:
This tests solving a simple linear equation by undoing a multiplication with a decimal coefficient. Since 0.2x equals 4, you isolate x by dividing both sides by 0.2 (or multiplying by 5, since 0.2 is 1/5). Doing that gives x = 4 ÷ 0.2 = 20 (or x = 4 × 5 = 20). Checking: 0.2 × 20 = 4, which matches the right side. If you try the other values, you’ll see they don’t produce 4: 2 gives 0.4, 0.2 gives 0.04, and 4 gives 0.8. Therefore, the value that makes the equation true is 20.

This tests solving a simple linear equation by undoing a multiplication with a decimal coefficient. Since 0.2x equals 4, you isolate x by dividing both sides by 0.2 (or multiplying by 5, since 0.2 is 1/5). Doing that gives x = 4 ÷ 0.2 = 20 (or x = 4 × 5 = 20). Checking: 0.2 × 20 = 4, which matches the right side.

If you try the other values, you’ll see they don’t produce 4: 2 gives 0.4, 0.2 gives 0.04, and 4 gives 0.8. Therefore, the value that makes the equation true is 20.

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