Solve 8(x 1) 4=-4(x-3)-1

Question

Solve the equation

x = \frac{11}{36}

Alternative Form

x = 0.30 \dot{5}

Evaluate

8 (x \times 1) \times 4 = - 4 (x - 3) - 1

Remove the parentheses

8 x \times 1 \times 4 = - 4 (x - 3) - 1

Multiply the terms

More Steps

Evaluate

8 x \times 1 \times 4

Rewrite the expression

8 x \times 4

Multiply the terms

32 x

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

Move the expression to the left side

32 x - (- 4 (x - 3) - 1) = 0

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

32 x + 4 (x - 3) + 1 = 0

Calculate

More Steps

Evaluate

32 x + 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

32 x + 4 x - 12 + 1

Add the terms

More Steps

Evaluate

32 x + 4 x

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

(32 + 4) x

Add the numbers

36 x

36 x - 12 + 1

Add the numbers

36 x - 11

36 x - 11 = 0

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

36 x = 0 + 11

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

36 x = 11

Divide both sides

\frac{36 x}{36} = \frac{11}{36}

Solution

x = \frac{11}{36}

Alternative Form

x = 0.30 \dot{5}

Show Solution

Rewrite the equation

36 x = 11

Evaluate

8 (x \times 1) \times 4 = - 4 (x - 3) - 1

Evaluate

More Steps

Evaluate

8 (x \times 1) \times 4

Remove the parentheses

8 x \times 1 \times 4

Rewrite the expression

8 x \times 4

Multiply the terms

32 x

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

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

32 x = - 4 x + 11

Solution

36 x = 11

Show Solution

Solve the equation

Rewrite the equation

Graph