Solve 7(7 - 5x) - 9(4 - 6x) = 10

Question

Solve the equation

x = - \frac{3}{19}

Alternative Form

x \approx - 0.157895

Evaluate

7 (7 - 5 x) - 9 (4 - 6 x) = 10

Move the expression to the left side

7 (7 - 5 x) - 9 (4 - 6 x) - 10 = 0

Calculate

More Steps

Evaluate

7 (7 - 5 x) - 9 (4 - 6 x) - 10

Expand the expression

More Steps

Calculate

7 (7 - 5 x)

Apply the distributive property

7 \times 7 - 7 \times 5 x

Multiply the numbers

49 - 7 \times 5 x

Multiply the numbers

49 - 35 x

49 - 35 x - 9 (4 - 6 x) - 10

Expand the expression

More Steps

Calculate

- 9 (4 - 6 x)

Apply the distributive property

- 9 \times 4 - (- 9 \times 6 x)

Multiply the numbers

- 36 - (- 9 \times 6 x)

Multiply the numbers

- 36 - (- 54 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

- 36 + 54 x

49 - 35 x - 36 + 54 x - 10

Subtract the numbers

3 - 35 x + 54 x

Add the terms

More Steps

Evaluate

- 35 x + 54 x

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

(- 35 + 54) x

Add the numbers

19 x

3 + 19 x

3 + 19 x = 0

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

19 x = 0 - 3

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

19 x = - 3

Divide both sides

\frac{19 x}{19} = \frac{- 3}{19}

Divide the numbers

x = \frac{- 3}{19}

Solution

x = - \frac{3}{19}

Alternative Form

x \approx - 0.157895

Show Solution

Rewrite the equation

19 x = - 3

Evaluate

7 (7 - 5 x) - 9 (4 - 6 x) = 10

Evaluate

More Steps

Evaluate

7 (7 - 5 x) - 9 (4 - 6 x)

Expand the expression

More Steps

Calculate

7 (7 - 5 x)

Apply the distributive property

7 \times 7 - 7 \times 5 x

Multiply the numbers

49 - 7 \times 5 x

Multiply the numbers

49 - 35 x

49 - 35 x - 9 (4 - 6 x)

Expand the expression

More Steps

Calculate

- 9 (4 - 6 x)

Apply the distributive property

- 9 \times 4 - (- 9 \times 6 x)

Multiply the numbers

- 36 - (- 9 \times 6 x)

Multiply the numbers

- 36 - (- 54 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

- 36 + 54 x

49 - 35 x - 36 + 54 x

Subtract the numbers

13 - 35 x + 54 x

Add the terms

More Steps

Evaluate

- 35 x + 54 x

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

(- 35 + 54) x

Add the numbers

19 x

13 + 19 x

13 + 19 x = 10

Solution

19 x = - 3

Show Solution

Solve the equation

Rewrite the equation

Graph