Solve -2x 1-3(x-4)=4(3-x) 4

Question

Solve the equation

x = \frac{36}{11}

Alternative Form

x = 3. \dot{2} \dot{7}

Evaluate

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

Multiply the terms

- 2 x - 3 (x - 4) = 4 (3 - x) \times 4

Multiply the terms

- 2 x - 3 (x - 4) = 16 (3 - x)

Calculate

More Steps

Evaluate

- 2 x - 3 (x - 4)

Expand the expression

More Steps

Calculate

- 3 (x - 4)

Apply the distributive property

- 3 x - (- 3 \times 4)

Multiply the numbers

- 3 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

- 3 x + 12

- 2 x - 3 x + 12

Subtract the terms

More Steps

Evaluate

- 2 x - 3 x

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

(- 2 - 3) x

Subtract the numbers

- 5 x

- 5 x + 12

- 5 x + 12 = 16 (3 - x)

Calculate

More Steps

Evaluate

16 (3 - x)

Apply the distributive property

16 \times 3 - 16 x

Multiply the numbers

48 - 16 x

- 5 x + 12 = 48 - 16 x

Move the expression to the left side

- 5 x + 12 - (48 - 16 x) = 0

Calculate the sum or difference

More Steps

Add the terms

- 5 x + 12 - (48 - 16 x)

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

- 5 x + 12 - 48 + 16 x

Add the terms

More Steps

Evaluate

- 5 x + 16 x

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

(- 5 + 16) x

Add the numbers

11 x

11 x + 12 - 48

Subtract the numbers

11 x - 36

11 x - 36 = 0

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

11 x = 0 + 36

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

11 x = 36

Divide both sides

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

Solution

x = \frac{36}{11}

Alternative Form

x = 3. \dot{2} \dot{7}

Show Solution

Rewrite the equation

11 x = 36

Evaluate

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

Evaluate

More Steps

Evaluate

- 2 x \times 1 - 3 (x - 4)

Multiply the terms

- 2 x - 3 (x - 4)

Expand the expression

More Steps

Calculate

- 3 (x - 4)

Apply the distributive property

- 3 x - (- 3 \times 4)

Multiply the numbers

- 3 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

- 3 x + 12

- 2 x - 3 x + 12

Subtract the terms

More Steps

Evaluate

- 2 x - 3 x

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

(- 2 - 3) x

Subtract the numbers

- 5 x

- 5 x + 12

- 5 x + 12 = 4 (3 - x) \times 4

Evaluate

- 5 x + 12 = 16 (3 - x)

Multiply

More Steps

Evaluate

16 (3 - x)

Apply the distributive property

16 \times 3 - 16 x

Multiply the numbers

48 - 16 x

- 5 x + 12 = 48 - 16 x

Move the variable to the left side

11 x + 12 = 48

Solution

11 x = 36

Show Solution

Solve the equation

Rewrite the equation

Graph