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

Question

Solve the equation

$Solve for x$

x = 4

Evaluate

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

Calculate

More Steps

Evaluate

1 - 2 (2 - x)

Expand the expression

More Steps

Calculate

- 2 (2 - x)

Apply the distributive property

- 2 \times 2 - (- 2 x)

Multiply the numbers

- 4 - (- 2 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

- 4 + 2 x

1 - 4 + 2 x

Subtract the numbers

- 3 + 2 x

- 3 + 2 x = 5 (x - 3)

Calculate

More Steps

Evaluate

5 (x - 3)

Apply the distributive property

5 x - 5 \times 3

Multiply the numbers

5 x - 15

- 3 + 2 x = 5 x - 15

Move the expression to the left side

- 3 + 2 x - (5 x - 15) = 0

Calculate the sum or difference

More Steps

Add the terms

- 3 + 2 x - (5 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

- 3 + 2 x - 5 x + 15

Add the numbers

12 + 2 x - 5 x

Subtract the terms

More Steps

Evaluate

2 x - 5 x

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

(2 - 5) x

Subtract the numbers

- 3 x

12 - 3 x

12 - 3 x = 0

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

- 3 x = 0 - 12

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

- 3 x = - 12

Change the signs on both sides of the equation

3 x = 12

Divide both sides

\frac{3 x}{3} = \frac{12}{3}

Divide the numbers

x = \frac{12}{3}

Solution

More Steps

Evaluate

\frac{12}{3}

Reduce the numbers

\frac{4}{1}

Calculate

4

x = 4

Show Solution

Rewrite the equation

Rewrite in standard form

x = 4

Evaluate

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

Evaluate

More Steps

Evaluate

1 - 2 (2 - x)

Expand the expression

More Steps

Calculate

- 2 (2 - x)

Apply the distributive property

- 2 \times 2 - (- 2 x)

Multiply the numbers

- 4 - (- 2 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

- 4 + 2 x

1 - 4 + 2 x

Subtract the numbers

- 3 + 2 x

- 3 + 2 x = 5 (x - 3)

Multiply

More Steps

Evaluate

5 (x - 3)

Apply the distributive property

5 x - 5 \times 3

Multiply the numbers

5 x - 15

- 3 + 2 x = 5 x - 15

Move the variable to the left side

- 3 - 3 x = - 15

Move the constant to the right side

- 3 x = - 12

Multiply both sides

3 x = 12

Solution

x = 4

Show Solution

1 2(2 x) = 5(x 3)

Solve the equation

$Solve for x$

Rewrite the equation

Rewrite in standard form

Graph