Solve (5-3x)-(-4x+6)=(8x+11)-(3x-6)

Question

Solve the equation

$Solve for x$

x = - \frac{9}{2}

Alternative Form

x = - 4.5

Evaluate

(5 - 3 x) - (- 4 x + 6) = (8 x + 11) - (3 x - 6)

Simplify

More Steps

Evaluate

(5 - 3 x) - (- 4 x + 6)

Remove the parentheses

5 - 3 x - (- 4 x + 6)

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

5 - 3 x + 4 x - 6

Subtract the numbers

- 1 - 3 x + 4 x

Add the terms

More Steps

Evaluate

- 3 x + 4 x

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

(- 3 + 4) x

Add the numbers

x

- 1 + x

- 1 + x = (8 x + 11) - (3 x - 6)

Simplify

More Steps

Evaluate

(8 x + 11) - (3 x - 6)

Remove the parentheses

8 x + 11 - (3 x - 6)

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 + 11 - 3 x + 6

Subtract the terms

More Steps

Evaluate

8 x - 3 x

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

(8 - 3) x

Subtract the numbers

5 x

5 x + 11 + 6

Add the numbers

5 x + 17

- 1 + x = 5 x + 17

Move the expression to the left side

- 1 + x - 5 x = 17

Move the expression to the right side

x - 5 x = 17 + 1

Add and subtract

More Steps

Evaluate

x - 5 x

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

(1 - 5) x

Subtract the numbers

- 4 x

- 4 x = 17 + 1

Add and subtract

- 4 x = 18

Change the signs on both sides of the equation

4 x = - 18

Divide both sides

\frac{4 x}{4} = \frac{- 18}{4}

Divide the numbers

x = \frac{- 18}{4}

Solution

More Steps

Evaluate

\frac{- 18}{4}

Cancel out the common factor 2

\frac{- 9}{2}

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

- \frac{9}{2}

x = - \frac{9}{2}

Alternative Form

x = - 4.5

Show Solution

Rewrite the equation

Rewrite in standard form

2 x = - 9

Evaluate

(5 - 3 x) - (- 4 x + 6) = (8 x + 11) - (3 x - 6)

Evaluate

More Steps

Evaluate

(5 - 3 x) - (- 4 x + 6)

Remove the parentheses

5 - 3 x - (- 4 x + 6)

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

5 - 3 x + 4 x - 6

Subtract the numbers

- 1 - 3 x + 4 x

Add the terms

More Steps

Evaluate

- 3 x + 4 x

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

(- 3 + 4) x

Add the numbers

x

- 1 + x

- 1 + x = (8 x + 11) - (3 x - 6)

Evaluate

More Steps

Evaluate

(8 x + 11) - (3 x - 6)

Remove the parentheses

8 x + 11 - (3 x - 6)

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 + 11 - 3 x + 6

Subtract the terms

More Steps

Evaluate

8 x - 3 x

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

(8 - 3) x

Subtract the numbers

5 x

5 x + 11 + 6

Add the numbers

5 x + 17

- 1 + x = 5 x + 17

Move the variable to the left side

- 1 - 4 x = 17

Move the constant to the right side

- 4 x = 18

Multiply both sides

4 x = - 18

Solution

2 x = - 9

Show Solution

(5 3x) ( 4x+6)=(8x+11) (3x 6)

Solve the equation

$Solve for x$

Rewrite the equation

Rewrite in standard form

Graph