Solve 2x-5(x-3)=-42x-11

Question

Solve the equation

x = - \frac{2}{3}

Alternative Form

x = - 0. \dot{6}

Evaluate

2 x - 5 (x - 3) = - 42 x - 11

Move the expression to the left side

2 x - 5 (x - 3) - (- 42 x - 11) = 0

Subtract the terms

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Evaluate

2 x - 5 (x - 3) - (- 42 x - 11)

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

2 x - 5 (x - 3) + 42 x + 11

Add the terms

More Steps

Evaluate

2 x + 42 x

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

(2 + 42) x

Add the numbers

44 x

44 x - 5 (x - 3) + 11

44 x - 5 (x - 3) + 11 = 0

Calculate the sum or difference

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Evaluate

44 x - 5 (x - 3) + 11

Expand the expression

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Calculate

- 5 (x - 3)

Apply the distributive property

- 5 x - (- 5 \times 3)

Multiply the numbers

- 5 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

- 5 x + 15

44 x - 5 x + 15 + 11

Subtract the terms

More Steps

Evaluate

44 x - 5 x

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

(44 - 5) x

Subtract the numbers

39 x

39 x + 15 + 11

Add the numbers

39 x + 26

39 x + 26 = 0

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

39 x = 0 - 26

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

39 x = - 26

Divide both sides

\frac{39 x}{39} = \frac{- 26}{39}

Divide the numbers

x = \frac{- 26}{39}

Solution

More Steps

Evaluate

\frac{- 26}{39}

Cancel out the common factor 13

\frac{- 2}{3}

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

- \frac{2}{3}

x = - \frac{2}{3}

Alternative Form

x = - 0. \dot{6}

Show Solution

Rewrite the equation

3 x = - 2

Evaluate

2 x - 5 (x - 3) = - 42 x - 11

Evaluate

More Steps

Evaluate

2 x - 5 (x - 3)

Expand the expression

More Steps

Calculate

- 5 (x - 3)

Apply the distributive property

- 5 x - (- 5 \times 3)

Multiply the numbers

- 5 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

- 5 x + 15

2 x - 5 x + 15

Subtract the terms

More Steps

Evaluate

2 x - 5 x

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

(2 - 5) x

Subtract the numbers

- 3 x

- 3 x + 15

- 3 x + 15 = - 42 x - 11

Move the variable to the left side

39 x + 15 = - 11

Move the constant to the right side

39 x = - 26

Solution

3 x = - 2

Show Solution

Solve the equation

Rewrite the equation

Graph