Solve 2(3x - (5 - 4x))

Question

Simplify the expression

14 x - 10

Evaluate

2 (3 x - (5 - 4 x))

Subtract the terms

More Steps

Evaluate

3 x - (5 - 4 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

3 x - 5 + 4 x

Add the terms

More Steps

Evaluate

3 x + 4 x

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

(3 + 4) x

Add the numbers

7 x

7 x - 5

2 (7 x - 5)

Apply the distributive property

2 \times 7 x - 2 \times 5

Multiply the numbers

14 x - 2 \times 5

Solution

14 x - 10

Show Solution

Find the roots

x = \frac{5}{7}

Alternative Form

x = 0. \dot{7} 1428 \dot{5}

Evaluate

2 (3 x - (5 - 4 x))

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

2 (3 x - (5 - 4 x)) = 0

Subtract the terms

More Steps

Simplify

3 x - (5 - 4 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

3 x - 5 + 4 x

Add the terms

More Steps

Evaluate

3 x + 4 x

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

(3 + 4) x

Add the numbers

7 x

7 x - 5

2 (7 x - 5) = 0

Rewrite the expression

7 x - 5 = 0

Move the constant to the right side

7 x = 0 + 5

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

7 x = 5

Divide both sides

\frac{7 x}{7} = \frac{5}{7}

Solution

x = \frac{5}{7}

Alternative Form

x = 0. \dot{7} 1428 \dot{5}

Show Solution