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

Question

Solve the equation

x = \frac{5}{2}

Alternative Form

x = 2.5

Evaluate

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

Remove the parentheses

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

Multiply the terms

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

Multiply the terms

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

Move the expression to the left side

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

Subtract the terms

More Steps

Evaluate

2 x - 3 x

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

(2 - 3) x

Subtract the numbers

- x

- x - 5 (2 - x) = 0

Calculate

More Steps

Evaluate

- x - 5 (2 - x)

Expand the expression

More Steps

Calculate

- 5 (2 - x)

Apply the distributive property

- 5 \times 2 - (- 5 x)

Multiply the numbers

- 10 - (- 5 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

- 10 + 5 x

- x - 10 + 5 x

Add the terms

More Steps

Evaluate

- x + 5 x

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

(- 1 + 5) x

Add the numbers

4 x

4 x - 10

4 x - 10 = 0

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

4 x = 0 + 10

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

4 x = 10

Divide both sides

\frac{4 x}{4} = \frac{10}{4}

Divide the numbers

x = \frac{10}{4}

Solution

x = \frac{5}{2}

Alternative Form

x = 2.5

Show Solution

Rewrite the equation

2 x = 5

Evaluate

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

Evaluate

More Steps

Evaluate

2 x - (2 - x) \times 5

Multiply the terms

2 x - 5 (2 - x)

Expand the expression

More Steps

Calculate

- 5 (2 - x)

Apply the distributive property

- 5 \times 2 - (- 5 x)

Multiply the numbers

- 10 - (- 5 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

- 10 + 5 x

2 x - 10 + 5 x

Add the terms

More Steps

Evaluate

2 x + 5 x

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

(2 + 5) x

Add the numbers

7 x

7 x - 10

7 x - 10 = 3 (x \times 1)

Evaluate

More Steps

Evaluate

3 (x \times 1)

Remove the parentheses

3 x \times 1

Multiply the terms

3 x

7 x - 10 = 3 x

Move the variable to the left side

4 x - 10 = 0

Move the constant to the right side

4 x = 10

Solution

2 x = 5

Show Solution

Solve the equation

Rewrite the equation

Graph