Solve -6-8(x-5) - ScanMath

Question

Simplify the expression

34 - 8 x

Evaluate

- 6 - 8 (x - 5)

Expand the expression

More Steps

Calculate

- 8 (x - 5)

Apply the distributive property

- 8 x - (- 8 \times 5)

Multiply the numbers

- 8 x - (- 40)

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

- 8 x + 40

- 6 - 8 x + 40

Solution

34 - 8 x

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Factor the expression

2 (17 - 4 x)

Evaluate

- 6 - 8 (x - 5)

Simplify

More Steps

Evaluate

- 8 (x - 5)

Apply the distributive property

- 8 x - 8 (- 5)

Multiply the terms

More Steps

Evaluate

- 8 (- 5)

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

8 \times 5

Multiply the numbers

40

- 8 x + 40

- 6 - 8 x + 40

Add the numbers

34 - 8 x

Solution

2 (17 - 4 x)

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Find the roots

x = \frac{17}{4}

Alternative Form

x = 4.25

Evaluate

- 6 - 8 (x - 5)

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

- 6 - 8 (x - 5) = 0

Calculate

More Steps

Evaluate

- 6 - 8 (x - 5)

Expand the expression

More Steps

Calculate

- 8 (x - 5)

Apply the distributive property

- 8 x - (- 8 \times 5)

Multiply the numbers

- 8 x - (- 40)

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

- 8 x + 40

- 6 - 8 x + 40

Add the numbers

34 - 8 x

34 - 8 x = 0

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

- 8 x = 0 - 34

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

- 8 x = - 34

Change the signs on both sides of the equation

8 x = 34

Divide both sides

\frac{8 x}{8} = \frac{34}{8}

Divide the numbers

x = \frac{34}{8}

Solution

x = \frac{17}{4}

Alternative Form

x = 4.25

Show Solution