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What is x if 3.2+0.3x=0.2x+1.4?

User Honeymoon
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2 Answers

1 vote
x equals -18
Simplifying 3.2 + 0.3x = 0.2x + 1.4 Reorder the terms: 3.2 + 0.3x = 1.4 + 0.2x Solving 3.2 + 0.3x = 1.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 3.2 + 0.3x + -0.2x = 1.4 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x 3.2 + 0.1x = 1.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 3.2 + 0.1x = 1.4 + 0.0 3.2 + 0.1x = 1.4 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 0.1x = 1.4 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.1x = 1.4 + -3.2 0.1x = 1.4 + -3.2 Combine like terms: 1.4 + -3.2 = -1.8 0.1x = -1.8 Divide each side by '0.1'. x = -18 Simplifying x = -18
User Anyeli
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8.6k points
3 votes
First arrange the equation so like terms are on the same side by subtracting 3.2 from both sides and 0.2x from both sides:

0.1x = -1.8

Then divide both sides by 0.1 to get x by itself:

x = -18
User Ricardo Zea
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8.1k points

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