Solve -4(x-3)-1=3(x-5)

Question

Solve the equation

x = \frac{26}{7}

Alternative Form

x = 3. \dot{7} 1428 \dot{5}

Evaluate

- 4 (x - 3) - 1 = 3 (x - 5)

Calculate

More Steps

Evaluate

- 4 (x - 3) - 1

Expand the expression

More Steps

Calculate

- 4 (x - 3)

Apply the distributive property

- 4 x - (- 4 \times 3)

Multiply the numbers

- 4 x - (- 12)

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

- 4 x + 12

- 4 x + 12 - 1

Subtract the numbers

- 4 x + 11

- 4 x + 11 = 3 (x - 5)

Calculate

More Steps

Evaluate

3 (x - 5)

Apply the distributive property

3 x - 3 \times 5

Multiply the numbers

3 x - 15

- 4 x + 11 = 3 x - 15

Move the expression to the left side

- 4 x + 11 - (3 x - 15) = 0

Calculate the sum or difference

More Steps

Add the terms

- 4 x + 11 - (3 x - 15)

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

- 4 x + 11 - 3 x + 15

Subtract the terms

More Steps

Evaluate

- 4 x - 3 x

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

(- 4 - 3) x

Subtract the numbers

- 7 x

- 7 x + 11 + 15

Add the numbers

- 7 x + 26

- 7 x + 26 = 0

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

- 7 x = 0 - 26

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

- 7 x = - 26

Change the signs on both sides of the equation

7 x = 26

Divide both sides

\frac{7 x}{7} = \frac{26}{7}

Solution

x = \frac{26}{7}

Alternative Form

x = 3. \dot{7} 1428 \dot{5}

Show Solution

Rewrite the equation

7 x = 26

Evaluate

- 4 (x - 3) - 1 = 3 (x - 5)

Evaluate

More Steps

Evaluate

- 4 (x - 3) - 1

Expand the expression

More Steps

Calculate

- 4 (x - 3)

Apply the distributive property

- 4 x - (- 4 \times 3)

Multiply the numbers

- 4 x - (- 12)

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

- 4 x + 12

- 4 x + 12 - 1

Subtract the numbers

- 4 x + 11

- 4 x + 11 = 3 (x - 5)

Multiply

More Steps

Evaluate

3 (x - 5)

Apply the distributive property

3 x - 3 \times 5

Multiply the numbers

3 x - 15

- 4 x + 11 = 3 x - 15

Move the variable to the left side

- 7 x + 11 = - 15

Move the constant to the right side

- 7 x = - 26

Solution

7 x = 26

Show Solution

Solve the equation

Rewrite the equation

Graph