Solve -2(-5x-6)=3x 15

Question

Solve the equation

x = \frac{12}{35}

Alternative Form

x = 0.3 \dot{4} 2857 \dot{1}

Evaluate

- 2 (- 5 x - 6) = 3 x \times 15

Multiply the terms

- 2 (- 5 x - 6) = 45 x

Expand the expression

More Steps

Evaluate

- 2 (- 5 x - 6)

Apply the distributive property

- 2 (- 5 x) - (- 2 \times 6)

Multiply the numbers

More Steps

Evaluate

- 2 (- 5)

Multiplying or dividing an even number of negative terms equals a positive

2 \times 5

Multiply the numbers

10

10 x - (- 2 \times 6)

Multiply the numbers

10 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

10 x + 12

10 x + 12 = 45 x

Move the variable to the left side

10 x + 12 - 45 x = 0

Subtract the terms

More Steps

Evaluate

10 x - 45 x

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

(10 - 45) x

Subtract the numbers

- 35 x

- 35 x + 12 = 0

Move the constant to the right side

- 35 x = 0 - 12

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

- 35 x = - 12

Change the signs on both sides of the equation

35 x = 12

Divide both sides

\frac{35 x}{35} = \frac{12}{35}

Solution

x = \frac{12}{35}

Alternative Form

x = 0.3 \dot{4} 2857 \dot{1}

Show Solution

Rewrite the equation

35 x = 12

Evaluate

- 2 (- 5 x - 6) = 3 x \times 15

Evaluate

- 2 (- 5 x - 6) = 45 x

Multiply

More Steps

Evaluate

- 2 (- 5 x - 6)

Apply the distributive property

- 2 (- 5 x) - (- 2 \times 6)

Multiply the numbers

More Steps

Evaluate

- 2 (- 5)

Multiplying or dividing an even number of negative terms equals a positive

2 \times 5

Multiply the numbers

10

10 x - (- 2 \times 6)

Multiply the numbers

10 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

10 x + 12

10 x + 12 = 45 x

Move the variable to the left side

- 35 x + 12 = 0

Move the constant to the right side

- 35 x = - 12

Solution

35 x = 12

Show Solution

Solve the equation

Rewrite the equation

Graph