Solve 4(x-1)-3(2x-5)

Question

Simplify the expression

- 2 x + 11

Evaluate

4 (x - 1) - 3 (2 x - 5)

Expand the expression

More Steps

Calculate

4 (x - 1)

Apply the distributive property

4 x - 4 \times 1

Any expression multiplied by 1 remains the same

4 x - 4

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

Expand the expression

More Steps

Calculate

- 3 (2 x - 5)

Apply the distributive property

- 3 \times 2 x - (- 3 \times 5)

Multiply the numbers

- 6 x - (- 3 \times 5)

Multiply the numbers

- 6 x - (- 15)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 6 x + 15

4 x - 4 - 6 x + 15

Subtract the terms

More Steps

Evaluate

4 x - 6 x

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

(4 - 6) x

Subtract the numbers

- 2 x

- 2 x - 4 + 15

Solution

- 2 x + 11

Show Solution

Find the roots

x = \frac{11}{2}

Alternative Form

x = 5.5

Evaluate

4 (x - 1) - 3 (2 x - 5)

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

4 (x - 1) - 3 (2 x - 5) = 0

Calculate

More Steps

Evaluate

4 (x - 1) - 3 (2 x - 5)

Expand the expression

More Steps

Calculate

4 (x - 1)

Apply the distributive property

4 x - 4 \times 1

Any expression multiplied by 1 remains the same

4 x - 4

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

Expand the expression

More Steps

Calculate

- 3 (2 x - 5)

Apply the distributive property

- 3 \times 2 x - (- 3 \times 5)

Multiply the numbers

- 6 x - (- 3 \times 5)

Multiply the numbers

- 6 x - (- 15)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 6 x + 15

4 x - 4 - 6 x + 15

Subtract the terms

More Steps

Evaluate

4 x - 6 x

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

(4 - 6) x

Subtract the numbers

- 2 x

- 2 x - 4 + 15

Add the numbers

- 2 x + 11

- 2 x + 11 = 0

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

- 2 x = 0 - 11

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

- 2 x = - 11

Change the signs on both sides of the equation

2 x = 11

Divide both sides

\frac{2 x}{2} = \frac{11}{2}

Solution

x = \frac{11}{2}

Alternative Form

x = 5.5

Show Solution