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Two-Step with Decimals

Part of the Fundamentals section of Coddy's Algebra journey. Lesson 39 of 61.

The equation 1.2x+0.4=2.81.2x+0.4 = 2.8 is a two-step equation with decimals. You solve it in the same order as before: subtract 0.4 from both sides, then divide both sides by 1.2.

1.2x=2.41.2x = 2.4

x=2x = 2

The decimals change the arithmetic, not the order of the steps. Check the answer: 1.2⋅2+0.4=2.81.2\cdot 2+0.4 = 2.8.

If you prefer whole numbers, multiply every term by 10 first. That gives 12x+4=2812x+4 = 28, and you solve it with whole numbers. Multiplying by 10 clears a denominator of 10, because 1.2=12101.2 = \frac{12}{10} and 0.4=4100.4 = \frac{4}{10}. Either way the equation has the same two steps: undo the added number, then undo the coefficient.

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Challenge

Medium

Solve the equation 1.5x−0.5=41.5x-0.5 = 4 for xx.

Try it yourself

1.5x−0.5=41.5x-0.5 = 4

Get xx alone

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