Solve 2x-7x+18-12+11x - Socratic AI (ScanMath)

Question

Simplify the expression

6 x + 6

Evaluate

2 x - 7 x + 18 - 12 + 11 x

Calculate the sum or difference

More Steps

Evaluate

2 x - 7 x + 11 x

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

(2 - 7 + 11) x

Calculate the sum or difference

6 x

6 x + 18 - 12

Solution

6 x + 6

Show Solution

Factor the expression

6 (x + 1)

Evaluate

2 x - 7 x + 18 - 12 + 11 x

Subtract the terms

More Steps

Simplify

2 x - 7 x

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

(2 - 7) x

Subtract the numbers

- 5 x

- 5 x + 18 - 12 + 11 x

Subtract the numbers

- 5 x + 6 + 11 x

Add the terms

More Steps

Evaluate

- 5 x + 11 x

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

(- 5 + 11) x

Add the numbers

6 x

6 x + 6

Solution

6 (x + 1)

Show Solution

Find the roots

x = - 1

Evaluate

2 x - 7 x + 18 - 12 + 11 x

To find the roots of the expression,set the expression equal to 0

2 x - 7 x + 18 - 12 + 11 x = 0

Subtract the terms

More Steps

Simplify

2 x - 7 x

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

(2 - 7) x

Subtract the numbers

- 5 x

- 5 x + 18 - 12 + 11 x = 0

Subtract the numbers

- 5 x + 6 + 11 x = 0

Add the terms

More Steps

Evaluate

- 5 x + 6 + 11 x

Add the terms

More Steps

Evaluate

- 5 x + 11 x

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

(- 5 + 11) x

Add the numbers

6 x

6 x + 6

6 x + 6 = 0

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

6 x = 0 - 6

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

6 x = - 6

Divide both sides

\frac{6 x}{6} = \frac{- 6}{6}

Divide the numbers

x = \frac{- 6}{6}

Solution

More Steps

Evaluate

\frac{- 6}{6}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

x = - 1

Show Solution

2x 7x+18 12+11x

Simplify the expression

Factor the expression

Find the roots