# Decimal Equation - Help

Solve the following decimal equation for x.

x/0.2 = 3x + 2.1

Multiply both sides of the equation by 0.2 to eliminate the denominator on the left side of the equation.

### Comments for Decimal Equation - Help

 Mar 23, 2012 Decimal Equation by: Staff Question: x/0.2=3x+2.1 Answer: x/0.2 = 3x + 2.1 Multiply each side of the equation by 0.2. This will eliminate the fraction on the left side of the equation. 0.2 * (x/0.2) = 0.2 * (3x + 2.1) x * (0.2 / 0.2) = 0.2 * (3x + 2.1) x * (1) = 0.2 * (3x + 2.1) x = 0.2 * (3x + 2.1) x = 0.2 * (3x) + 0.2 * (2.1) x = 0.6x + 0.42 Subtract 0.6x from both sides of the equation. This will move all terms containing “x” to the left side of the equation. x - 0.6x = 0.6x + 0.42 - 0.6x x - 0.6x = 0.6x - 0.6x + 0.42 x - 0.6x = (0.6x - 0.6x) + 0.42 x - 0.6x = 0 + 0.42 x - 0.6x = 0.42 0.4x = 0.42 Divide each side of the equation by 0.4. This will eliminate the 0.4 from the left side of the equation. 0.4x = 0.42 0.4x / 0.4 = 0.42 / 0.4 x * (0.4 / 0.4) = 0.42 / 0.4 x * (1) = 0.42 / 0.4 x = 0.42 / 0.4 x = 1.05 >>> the final answer: x = 1.05 --------------------------------------------- Check the answer by substituting 1.05 for every “x” in the original equation x / 0.2 = 3x + 2.1 1.05 / 0.2 = 3*1.05 + 2.1 5.25 = 3*1.05 + 2.1 5.25 = 3.15 + 2.1 5.25 = 5.25, OK → x = 1.05 is a valid solution Thanks for writing. Staff www.solving-math-problems.com

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