Solve (18 - 4x) - (3x 7) = 2x - (9x - 11)

Question

Solve the equation

x = \frac{7}{18}

Alternative Form

x = 0.3 \dot{8}

Evaluate

(18 - 4 x) - (3 x \times 7) = 2 x - (9 x - 11)

Simplify

More Steps

Evaluate

(18 - 4 x) - (3 x \times 7)

Remove the parentheses

18 - 4 x - (3 x \times 7)

Multiply the terms

18 - 4 x - 21 x

Subtract the terms

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Evaluate

- 4 x - 21 x

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

(- 4 - 21) x

Subtract the numbers

- 25 x

18 - 25 x

18 - 25 x = 2 x - (9 x - 11)

Subtract the terms

More Steps

Evaluate

2 x - (9 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 - 9 x + 11

Subtract the terms

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Evaluate

2 x - 9 x

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

(2 - 9) x

Subtract the numbers

- 7 x

- 7 x + 11

18 - 25 x = - 7 x + 11

Move the expression to the left side

18 - 25 x + 7 x = 11

Move the expression to the right side

- 25 x + 7 x = 11 - 18

Add and subtract

More Steps

Evaluate

- 25 x + 7 x

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

(- 25 + 7) x

Add the numbers

- 18 x

- 18 x = 11 - 18

Add and subtract

- 18 x = - 7

Change the signs on both sides of the equation

18 x = 7

Divide both sides

\frac{18 x}{18} = \frac{7}{18}

Solution

x = \frac{7}{18}

Alternative Form

x = 0.3 \dot{8}

Show Solution

Rewrite the equation

18 x = 7

Evaluate

(18 - 4 x) - (3 x \times 7) = 2 x - (9 x - 11)

Evaluate

More Steps

Evaluate

(18 - 4 x) - (3 x \times 7)

Remove the parentheses

18 - 4 x - (3 x \times 7)

Multiply the terms

18 - 4 x - 21 x

Subtract the terms

More Steps

Evaluate

- 4 x - 21 x

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

(- 4 - 21) x

Subtract the numbers

- 25 x

18 - 25 x

18 - 25 x = 2 x - (9 x - 11)

Evaluate

More Steps

Evaluate

2 x - (9 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 - 9 x + 11

Subtract the terms

More Steps

Evaluate

2 x - 9 x

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

(2 - 9) x

Subtract the numbers

- 7 x

- 7 x + 11

18 - 25 x = - 7 x + 11

Move the variable to the left side

18 - 18 x = 11

Move the constant to the right side

- 18 x = - 7

Solution

18 x = 7

Show Solution

Solve the equation

Rewrite the equation

Graph