Question :

x+4=−9−3(x−5)+8x

Solve the equation

x = - \frac{1}{2}

Alternative Form

x = - 0.5

Evaluate

x + 4 = - 9 - 3 (x - 5) + 8 x

Move the expression to the left side

x + 4 - (- 9 - 3 (x - 5) + 8 x) = 0

Calculate the sum or difference

More Steps

Evaluate

x + 4 - (- 9 - 3 (x - 5) + 8 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

x + 4 + 9 + 3 (x - 5) - 8 x

Subtract the terms

More Steps

Evaluate

x - 8 x

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

(1 - 8) x

Subtract the numbers

- 7 x

- 7 x + 4 + 9 + 3 (x - 5)

Add the numbers

- 7 x + 13 + 3 (x - 5)

- 7 x + 13 + 3 (x - 5) = 0

Calculate

More Steps

Evaluate

- 7 x + 13 + 3 (x - 5)

Expand the expression

More Steps

Calculate

3 (x - 5)

Apply the distributive property

3 x - 3 \times 5

Multiply the numbers

3 x - 15

- 7 x + 13 + 3 x - 15

Add the terms

More Steps

Evaluate

- 7 x + 3 x

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

(- 7 + 3) x

Add the numbers

- 4 x

- 4 x + 13 - 15

Subtract the numbers

- 4 x - 2

- 4 x - 2 = 0

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

- 4 x = 0 + 2

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

- 4 x = 2

Change the signs on both sides of the equation

4 x = - 2

Divide both sides

\frac{4 x}{4} = \frac{- 2}{4}

Divide the numbers

x = \frac{- 2}{4}

Solution

More Steps

Evaluate

\frac{- 2}{4}

Cancel out the common factor 2

\frac{- 1}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1}{2}

x = - \frac{1}{2}

Alternative Form

x = - 0.5

Show Solution

Rewrite the equation

2 x = - 1

Evaluate

x + 4 = - 9 - 3 (x - 5) + 8 x

Evaluate

More Steps

Evaluate

- 9 - 3 (x - 5) + 8 x

Expand the expression

More Steps

Calculate

- 3 (x - 5)

Apply the distributive property

- 3 x - (- 3 \times 5)

Multiply the numbers

- 3 x - (- 15)

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 + 15

- 9 - 3 x + 15 + 8 x

Add the numbers

6 - 3 x + 8 x

Add the terms

More Steps

Evaluate

- 3 x + 8 x

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

(- 3 + 8) x

Add the numbers

5 x

6 + 5 x

x + 4 = 6 + 5 x

Move the variable to the left side

- 4 x + 4 = 6

Move the constant to the right side

- 4 x = 2

Multiply both sides

4 x = - 2

Solution

2 x = - 1

Show Solution

x+4=−9−3(x−5)+8x

Solve the equation

Rewrite the equation

Graph

Frequently Asked Questions

$Solve for x$ of \(x+4=−9−3(x−5)+8x\)

Rewrite in standard form of \(x+4=−9−3(x−5)+8x\)

x+4=−9−3(x−5)+8x

Solve the equation

Rewrite the equation

Graph

Frequently Asked Questions

Solve for x of \(x+4=−9−3(x−5)+8x\)

Rewrite in standard form of \(x+4=−9−3(x−5)+8x\)

$Solve for x$ of \(x+4=−9−3(x−5)+8x\)