Solve 17x - 6 + 3x - 5 = x + 11 + 4x

Question

Solve the equation

x = \frac{22}{15}

Alternative Form

x = 1.4 \dot{6}

Evaluate

17 x - 6 + 3 x - 5 = x + 11 + 4 x

Calculate the sum or difference

More Steps

Evaluate

17 x - 6 + 3 x - 5

Add the terms

More Steps

Evaluate

17 x + 3 x

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

(17 + 3) x

Add the numbers

20 x

20 x - 6 - 5

Subtract the numbers

20 x - 11

20 x - 11 = x + 11 + 4 x

Add the terms

More Steps

Evaluate

x + 4 x

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

(1 + 4) x

Add the numbers

5 x

20 x - 11 = 5 x + 11

Move the expression to the left side

20 x - 11 - 5 x = 11

Move the expression to the right side

20 x - 5 x = 11 + 11

Add and subtract

More Steps

Evaluate

20 x - 5 x

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

(20 - 5) x

Subtract the numbers

15 x

15 x = 11 + 11

Add and subtract

15 x = 22

Divide both sides

\frac{15 x}{15} = \frac{22}{15}

Solution

x = \frac{22}{15}

Alternative Form

x = 1.4 \dot{6}

Show Solution

Rewrite the equation

15 x = 22

Evaluate

17 x - 6 + 3 x - 5 = x + 11 + 4 x

Evaluate

More Steps

Evaluate

17 x - 6 + 3 x - 5

Add the terms

More Steps

Evaluate

17 x + 3 x

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

(17 + 3) x

Add the numbers

20 x

20 x - 6 - 5

Subtract the numbers

20 x - 11

20 x - 11 = x + 11 + 4 x

Evaluate

More Steps

Evaluate

x + 11 + 4 x

Add the terms

More Steps

Evaluate

x + 4 x

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

(1 + 4) x

Add the numbers

5 x

5 x + 11

20 x - 11 = 5 x + 11

Move the variable to the left side

15 x - 11 = 11

Solution

15 x = 22

Show Solution

Solve the equation

Rewrite the equation

Graph