Solve -(-3x-2)-6(-7 x)=50

Question

Solve the equation

x = \frac{16}{15}

Alternative Form

x = 1.0 \dot{6}

Evaluate

- (- 3 x - 2) - 6 (- 7 x) = 50

Simplify

More Steps

Evaluate

- (- 3 x - 2) - 6 (- 7 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

3 x + 2 - 6 (- 7 x)

Multiply the numbers

More Steps

Evaluate

6 (- 7)

Multiplying or dividing an odd number of negative terms equals a negative

- 6 \times 7

Multiply the numbers

- 42

3 x + 2 - (- 42 x)

Rewrite the expression

3 x + 2 + 42 x

Add the terms

More Steps

Evaluate

3 x + 42 x

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

(3 + 42) x

Add the numbers

45 x

45 x + 2

45 x + 2 = 50

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

45 x = 50 - 2

Subtract the numbers

45 x = 48

Divide both sides

\frac{45 x}{45} = \frac{48}{45}

Divide the numbers

x = \frac{48}{45}

Solution

x = \frac{16}{15}

Alternative Form

x = 1.0 \dot{6}

Show Solution

Rewrite the equation

15 x = 16

Evaluate

- (- 3 x - 2) - 6 (- 7 x) = 50

Evaluate

More Steps

Evaluate

- (- 3 x - 2) - 6 (- 7 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

3 x + 2 - 6 (- 7 x)

Multiply the numbers

More Steps

Evaluate

6 (- 7)

Multiplying or dividing an odd number of negative terms equals a negative

- 6 \times 7

Multiply the numbers

- 42

3 x + 2 - (- 42 x)

Rewrite the expression

3 x + 2 + 42 x

Add the terms

More Steps

Evaluate

3 x + 42 x

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

(3 + 42) x

Add the numbers

45 x

45 x + 2

45 x + 2 = 50

Move the constant to the right side

45 x = 48

Solution

15 x = 16

Show Solution

Solve the equation

Rewrite the equation

Graph