Equations with fractions and decimals

Multiply every term by the least common denominator, and the fractions disappear. With decimals, multiply by 10 or 100.

Work through it

Multiply every term by 6: $3 x + 2 x = 60$

$5 x = 60$ , so $x = 12$

Cross multiply: $3 (x + 1) = 4 (x - 2)$

$3 x + 3 = 4 x - 8$

$x = 11$

Multiply by 10: $2 x + 15 = 35$

$x = 10$

$\frac{x}{2} + 1 = 5$ becomes $x + 1 = 10$ .

You have to multiply every term by 2, including the 1. So $x + 2 = 10$ .

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