Solve 2x - (10 - 3x) - Socratic AI (ScanMath)

Question

Simplify the expression

5 x - 10

Evaluate

2 x - (10 - 3 x)

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 - 10 + 3 x

Solution

More Steps

Evaluate

2 x + 3 x

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

(2 + 3) x

Add the numbers

5 x

5 x - 10

Show Solution

Factor the expression

5 (x - 2)

Evaluate

2 x - (10 - 3 x)

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 - 10 + 3 x

Add the terms

More Steps

Evaluate

2 x + 3 x

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

(2 + 3) x

Add the numbers

5 x

5 x - 10

Solution

5 (x - 2)

Show Solution

Find the roots

x = 2

Evaluate

2 x - (10 - 3 x)

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

2 x - (10 - 3 x) = 0

Subtract the terms

More Steps

Simplify

2 x - (10 - 3 x)

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 - 10 + 3 x

Add the terms

More Steps

Evaluate

2 x + 3 x

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

(2 + 3) x

Add the numbers

5 x

5 x - 10

5 x - 10 = 0

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

5 x = 0 + 10

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

5 x = 10

Divide both sides

\frac{5 x}{5} = \frac{10}{5}

Divide the numbers

x = \frac{10}{5}

Solution

More Steps

Evaluate

\frac{10}{5}

Reduce the numbers

\frac{2}{1}

Calculate

2

x = 2

Show Solution

2x (10 3x)

Simplify the expression

Factor the expression

Find the roots