Solve (x 1)/4 - (x-1)/3

Question

Simplify the expression

\frac{- x + 4}{12}

Evaluate

\frac{x \times 1}{4} - \frac{x - 1}{3}

Any expression multiplied by 1 remains the same

\frac{x}{4} - \frac{x - 1}{3}

Reduce fractions to a common denominator

\frac{x \times 3}{4 \times 3} - \frac{( x - 1 ) \times 4}{3 \times 4}

Multiply the numbers

\frac{x \times 3}{12} - \frac{( x - 1 ) \times 4}{3 \times 4}

Multiply the numbers

\frac{x \times 3}{12} - \frac{( x - 1 ) \times 4}{12}

Write all numerators above the common denominator

\frac{x \times 3 - ( x - 1 ) \times 4}{12}

Use the commutative property to reorder the terms

\frac{3 x - ( x - 1 ) \times 4}{12}

Multiply the terms

More Steps

Evaluate

(x - 1) \times 4

Apply the distributive property

x \times 4 - 4

Use the commutative property to reorder the terms

4 x - 4

\frac{3 x - ( 4 x - 4 )}{12}

Solution

More Steps

Evaluate

3 x - (4 x - 4)

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

3 x - 4 x + 4

Subtract the terms

More Steps

Evaluate

3 x - 4 x

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

(3 - 4) x

Subtract the numbers

- x

- x + 4

\frac{- x + 4}{12}

Show Solution

Find the roots

x = 4

Evaluate

\frac{x \times 1}{4} - \frac{x - 1}{3}

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

\frac{x \times 1}{4} - \frac{x - 1}{3} = 0

Any expression multiplied by 1 remains the same

\frac{x}{4} - \frac{x - 1}{3} = 0

Subtract the terms

More Steps

Simplify

\frac{x}{4} - \frac{x - 1}{3}

Reduce fractions to a common denominator

\frac{x \times 3}{4 \times 3} - \frac{( x - 1 ) \times 4}{3 \times 4}

Multiply the numbers

\frac{x \times 3}{12} - \frac{( x - 1 ) \times 4}{3 \times 4}

Multiply the numbers

\frac{x \times 3}{12} - \frac{( x - 1 ) \times 4}{12}

Write all numerators above the common denominator

\frac{x \times 3 - ( x - 1 ) \times 4}{12}

Use the commutative property to reorder the terms

\frac{3 x - ( x - 1 ) \times 4}{12}

Multiply the terms

More Steps

Evaluate

(x - 1) \times 4

Apply the distributive property

x \times 4 - 4

Use the commutative property to reorder the terms

4 x - 4

\frac{3 x - ( 4 x - 4 )}{12}

Subtract the terms

More Steps

Evaluate

3 x - (4 x - 4)

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

3 x - 4 x + 4

Subtract the terms

- x + 4

\frac{- x + 4}{12}

\frac{- x + 4}{12} = 0

Simplify

- x + 4 = 0

Move the constant to the right side

- x = 0 - 4

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

- x = - 4

Solution

x = 4

Show Solution