Solve for z z/5=3/10z+7

Problem

z/5=3/10*z+7

Solution

1. Identify the least common denominator (LCD) for all terms in the equation to clear the fractions. The denominators are 5 and 10 so the LCD is 10

2. Multiply every term on both sides of the equation by 10

10⋅z/5=10⋅(3/10*z+7)

3. Distribute and simplify the terms.

2*z=3*z+70

4. Isolate the variable z by subtracting 3*z from both sides of the equation.

2*z−3*z=70

5. Combine like terms on the left side.

−z=70

6. Solve for z by multiplying or dividing both sides by −1

z=−70

Final Answer

z/5=3/10*z+7⇒z=−70

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