Solve 2x-3/2 - x-4/4

Question

Simplify the expression

x - \frac{5}{2}

Evaluate

2 x - \frac{3}{2} - x - \frac{4}{4}

Divide the terms

2 x - \frac{3}{2} - x - 1

Subtract the terms

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Evaluate

2 x - x

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

(2 - 1) x

Subtract the numbers

x

x - \frac{3}{2} - 1

Solution

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Evaluate

- \frac{3}{2} - 1

Reduce fractions to a common denominator

- \frac{3}{2} - \frac{2}{2}

Write all numerators above the common denominator

\frac{- 3 - 2}{2}

Subtract the numbers

\frac{- 5}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{5}{2}

x - \frac{5}{2}

Show Solution

Factor the expression

\frac{1}{2} (2 x - 5)

Evaluate

2 x - \frac{3}{2} - x - \frac{4}{4}

Divide the terms

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Evaluate

\frac{4}{4}

Reduce the numbers

\frac{1}{1}

Calculate

1

2 x - \frac{3}{2} - x - 1

Subtract the terms

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Simplify

2 x - \frac{3}{2} - x

Subtract the terms

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Evaluate

2 x - x

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

(2 - 1) x

Subtract the numbers

x

x - \frac{3}{2}

x - \frac{3}{2} - 1

Subtract the numbers

More Steps

Evaluate

- \frac{3}{2} - 1

Reduce fractions to a common denominator

- \frac{3}{2} - \frac{2}{2}

Write all numerators above the common denominator

\frac{- 3 - 2}{2}

Subtract the numbers

\frac{- 5}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{5}{2}

x - \frac{5}{2}

Solution

\frac{1}{2} (2 x - 5)

Show Solution

Find the roots

x = \frac{5}{2}

Alternative Form

x = 2.5

Evaluate

2 x - \frac{3}{2} - x - \frac{4}{4}

To find the roots of the expression,set the expression equal to 0

2 x - \frac{3}{2} - x - \frac{4}{4} = 0

Divide the terms

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Evaluate

\frac{4}{4}

Reduce the numbers

\frac{1}{1}

Calculate

1

2 x - \frac{3}{2} - x - 1 = 0

Subtract the terms

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Simplify

2 x - \frac{3}{2} - x

Subtract the terms

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Evaluate

2 x - x

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

(2 - 1) x

Subtract the numbers

x

x - \frac{3}{2}

x - \frac{3}{2} - 1 = 0

Subtract the numbers

More Steps

Simplify

x - \frac{3}{2} - 1

Subtract the numbers

More Steps

Evaluate

- \frac{3}{2} - 1

Reduce fractions to a common denominator

- \frac{3}{2} - \frac{2}{2}

Write all numerators above the common denominator

\frac{- 3 - 2}{2}

Subtract the numbers

\frac{- 5}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{5}{2}

x - \frac{5}{2}

x - \frac{5}{2} = 0

Move the constant to the right-hand side and change its sign

x = 0 + \frac{5}{2}

Solution

x = \frac{5}{2}

Alternative Form

x = 2.5

Show Solution