Solve 10 - 5(9x - 9)

Question

Simplify the expression

55 - 45 x

Evaluate

10 - 5 (9 x - 9)

Expand the expression

More Steps

Calculate

- 5 (9 x - 9)

Apply the distributive property

- 5 \times 9 x - (- 5 \times 9)

Multiply the numbers

- 45 x - (- 5 \times 9)

Multiply the numbers

- 45 x - (- 45)

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

- 45 x + 45

10 - 45 x + 45

Solution

55 - 45 x

Show Solution

Factor the expression

5 (11 - 9 x)

Evaluate

10 - 5 (9 x - 9)

Simplify

More Steps

Evaluate

- 5 (9 x - 9)

Apply the distributive property

- 5 \times 9 x - 5 (- 9)

Multiply the terms

- 45 x - 5 (- 9)

Multiply the terms

More Steps

Evaluate

- 5 (- 9)

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

5 \times 9

Multiply the numbers

45

- 45 x + 45

10 - 45 x + 45

Add the numbers

55 - 45 x

Solution

5 (11 - 9 x)

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Find the roots

x = \frac{11}{9}

Alternative Form

x = 1. \dot{2}

Evaluate

10 - 5 (9 x - 9)

To find the roots of the expression,set the expression equal to 0

10 - 5 (9 x - 9) = 0

Calculate

More Steps

Evaluate

10 - 5 (9 x - 9)

Expand the expression

More Steps

Calculate

- 5 (9 x - 9)

Apply the distributive property

- 5 \times 9 x - (- 5 \times 9)

Multiply the numbers

- 45 x - (- 5 \times 9)

Multiply the numbers

- 45 x - (- 45)

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

- 45 x + 45

10 - 45 x + 45

Add the numbers

55 - 45 x

55 - 45 x = 0

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

- 45 x = 0 - 55

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

- 45 x = - 55

Change the signs on both sides of the equation

45 x = 55

Divide both sides

\frac{45 x}{45} = \frac{55}{45}

Divide the numbers

x = \frac{55}{45}

Solution

x = \frac{11}{9}

Alternative Form

x = 1. \dot{2}

Show Solution