Solve (4x-1)-6(6x-1)=35

Question

Solve the equation

x = - \frac{15}{16}

Alternative Form

x = - 0.9375

Evaluate

(4 x - 1) - 6 (6 x - 1) = 35

Remove the parentheses

4 x - 1 - 6 (6 x - 1) = 35

Move the expression to the left side

4 x - 1 - 6 (6 x - 1) - 35 = 0

Subtract the numbers

4 x - 36 - 6 (6 x - 1) = 0

Calculate

More Steps

Evaluate

4 x - 36 - 6 (6 x - 1)

Expand the expression

More Steps

Calculate

- 6 (6 x - 1)

Apply the distributive property

- 6 \times 6 x - (- 6 \times 1)

Multiply the numbers

- 36 x - (- 6 \times 1)

Any expression multiplied by 1 remains the same

- 36 x - (- 6)

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

- 36 x + 6

4 x - 36 - 36 x + 6

Subtract the terms

More Steps

Evaluate

4 x - 36 x

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

(4 - 36) x

Subtract the numbers

- 32 x

- 32 x - 36 + 6

Add the numbers

- 32 x - 30

- 32 x - 30 = 0

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

- 32 x = 0 + 30

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

- 32 x = 30

Change the signs on both sides of the equation

32 x = - 30

Divide both sides

\frac{32 x}{32} = \frac{- 30}{32}

Divide the numbers

x = \frac{- 30}{32}

Solution

More Steps

Evaluate

\frac{- 30}{32}

Cancel out the common factor 2

\frac{- 15}{16}

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

- \frac{15}{16}

x = - \frac{15}{16}

Alternative Form

x = - 0.9375

Show Solution

Rewrite the equation

16 x = - 15

Evaluate

(4 x - 1) - 6 (6 x - 1) = 35

Evaluate

More Steps

Evaluate

(4 x - 1) - 6 (6 x - 1)

Remove the parentheses

4 x - 1 - 6 (6 x - 1)

Expand the expression

More Steps

Calculate

- 6 (6 x - 1)

Apply the distributive property

- 6 \times 6 x - (- 6 \times 1)

Multiply the numbers

- 36 x - (- 6 \times 1)

Any expression multiplied by 1 remains the same

- 36 x - (- 6)

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

- 36 x + 6

4 x - 1 - 36 x + 6

Subtract the terms

More Steps

Evaluate

4 x - 36 x

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

(4 - 36) x

Subtract the numbers

- 32 x

- 32 x - 1 + 6

Add the numbers

- 32 x + 5

- 32 x + 5 = 35

Move the constant to the right side

- 32 x = 30

Multiply both sides

32 x = - 30

Solution

16 x = - 15

Show Solution

Solve the equation

Rewrite the equation

Graph