Solve x-3/20x-(3/20x+30)=45%x

Question

Solve the equation

x = 120

Evaluate

x - \frac{3}{20} x - (\frac{3}{20} x + 30) = 45% x

Subtract the terms

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Evaluate

x - \frac{3}{20} x - (\frac{3}{20} x + 30)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

x - \frac{3}{20} x - \frac{3}{20} x - 30

Subtract the terms

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Evaluate

x - \frac{3}{20} x - \frac{3}{20} x

Collect like terms by calculating the sum or difference of their coefficients

(1 - \frac{3}{20} - \frac{3}{20}) x

Subtract the numbers

\frac{7}{10} x

\frac{7}{10} x - 30

\frac{7}{10} x - 30 = 45% x

Calculate

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Evaluate

45% x

By definition p % = p \times 0.01

45 \times 0.01 x

Calculate

0.45 x

\frac{7}{10} x - 30 = 0.45 x

Move the variable to the left side

\frac{7}{10} x - 30 - 0.45 x = 0

Subtract the terms

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Evaluate

\frac{7}{10} x - 0.45 x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{7}{10} - 0.45) x

Subtract the numbers

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Evaluate

\frac{7}{10} - 0.45

Convert the decimal into a fraction

\frac{7}{10} - \frac{9}{20}

Reduce fractions to a common denominator

\frac{7 \times 2}{10 \times 2} - \frac{9}{20}

Multiply the numbers

\frac{7 \times 2}{20} - \frac{9}{20}

Write all numerators above the common denominator

\frac{7 \times 2 - 9}{20}

Multiply the numbers

\frac{14 - 9}{20}

Subtract the numbers

\frac{5}{20}

Cancel out the common factor 5

\frac{1}{4}

\frac{1}{4} x

\frac{1}{4} x - 30 = 0

Move the constant to the right side

\frac{1}{4} x = 0 + 30

Removing 0 doesn't change the value,so remove it from the expression

\frac{1}{4} x = 30

Multiply by the reciprocal

\frac{1}{4} x \times 4 = 30 \times 4

Multiply

x = 30 \times 4

Solution

x = 120

Show Solution

Rewrite the equation

x = 120

Evaluate

x - \frac{3}{20} x - (\frac{3}{20} x + 30) = 45% x

Evaluate

More Steps

Evaluate

x - \frac{3}{20} x - (\frac{3}{20} x + 30)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

x - \frac{3}{20} x - \frac{3}{20} x - 30

Subtract the terms

More Steps

Evaluate

x - \frac{3}{20} x - \frac{3}{20} x

Collect like terms by calculating the sum or difference of their coefficients

(1 - \frac{3}{20} - \frac{3}{20}) x

Subtract the numbers

\frac{7}{10} x

\frac{7}{10} x - 30

\frac{7}{10} x - 30 = 45% x

Evaluate

More Steps

Evaluate

45% x

By definition p % = p \times 0.01

45 \times 0.01 x

Calculate

0.45 x

\frac{7}{10} x - 30 = 0.45 x

Convert the decimal into a fraction

More Steps

Evaluate

0.45

Convert the decimal into a fraction

\frac{45}{100}

Reduce the fraction

\frac{9}{20}

\frac{7}{10} x - 30 = \frac{9}{20} x

Multiply both sides of the equation by LCD

14 x - 600 = 9 x

Move the variable to the left side

5 x - 600 = 0

Move the constant to the right side

5 x = 600

Solution

x = 120

Show Solution

Solve the equation

Rewrite the equation

Graph