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Decimal Equation - Help
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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.

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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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