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

Question

Solve the equation

x = \frac{15}{16}

Alternative Form

x = 0.9375

Evaluate

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

Remove the parentheses

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

Multiply the numbers

3 (5 - x) - 10 x = 3 x \times 1

Multiply the terms

3 (5 - x) - 10 x = 3 x

Move the expression to the left side

3 (5 - x) - 10 x - 3 x = 0

Subtract the terms

More Steps

Evaluate

- 10 x - 3 x

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

(- 10 - 3) x

Subtract the numbers

- 13 x

3 (5 - x) - 13 x = 0

Calculate

More Steps

Evaluate

3 (5 - x) - 13 x

Expand the expression

More Steps

Calculate

3 (5 - x)

Apply the distributive property

3 \times 5 - 3 x

Multiply the numbers

15 - 3 x

15 - 3 x - 13 x

Subtract the terms

More Steps

Evaluate

- 3 x - 13 x

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

(- 3 - 13) x

Subtract the numbers

- 16 x

15 - 16 x

15 - 16 x = 0

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

- 16 x = 0 - 15

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

- 16 x = - 15

Change the signs on both sides of the equation

16 x = 15

Divide both sides

\frac{16 x}{16} = \frac{15}{16}

Solution

x = \frac{15}{16}

Alternative Form

x = 0.9375

Show Solution

Rewrite the equation

16 x = 15

Evaluate

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

Evaluate

More Steps

Evaluate

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

Multiply the numbers

3 (5 - x) - 10 x

Expand the expression

More Steps

Calculate

3 (5 - x)

Apply the distributive property

3 \times 5 - 3 x

Multiply the numbers

15 - 3 x

15 - 3 x - 10 x

Subtract the terms

More Steps

Evaluate

- 3 x - 10 x

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

(- 3 - 10) x

Subtract the numbers

- 13 x

15 - 13 x

15 - 13 x = 3 (x \times 1)

Evaluate

More Steps

Evaluate

3 (x \times 1)

Remove the parentheses

3 x \times 1

Multiply the terms

3 x

15 - 13 x = 3 x

Move the variable to the left side

15 - 16 x = 0

Move the constant to the right side

- 16 x = - 15

Solution

16 x = 15

Show Solution

Solve the equation

Rewrite the equation

Graph