Solve 15x-3(3x-2)=45-5(2x-5)

Question

Solve the equation

x = 4

Evaluate

15 x - 3 (3 x - 2) = 45 - 5 (2 x - 5)

Move the expression to the left side

15 x - 3 (3 x - 2) - (45 - 5 (2 x - 5)) = 0

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

15 x - 3 (3 x - 2) - 45 + 5 (2 x - 5) = 0

Calculate the sum or difference

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Evaluate

15 x - 3 (3 x - 2) - 45 + 5 (2 x - 5)

Expand the expression

More Steps

Calculate

- 3 (3 x - 2)

Apply the distributive property

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

Multiply the numbers

- 9 x - (- 3 \times 2)

Multiply the numbers

- 9 x - (- 6)

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

- 9 x + 6

15 x - 9 x + 6 - 45 + 5 (2 x - 5)

Expand the expression

More Steps

Calculate

5 (2 x - 5)

Apply the distributive property

5 \times 2 x - 5 \times 5

Multiply the numbers

10 x - 5 \times 5

Multiply the numbers

10 x - 25

15 x - 9 x + 6 - 45 + 10 x - 25

Calculate the sum or difference

More Steps

Evaluate

15 x - 9 x + 10 x

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

(15 - 9 + 10) x

Calculate the sum or difference

16 x

16 x + 6 - 45 - 25

Subtract the numbers

16 x - 64

16 x - 64 = 0

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

16 x = 0 + 64

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

16 x = 64

Divide both sides

\frac{16 x}{16} = \frac{64}{16}

Divide the numbers

x = \frac{64}{16}

Solution

More Steps

Evaluate

\frac{64}{16}

Reduce the numbers

\frac{4}{1}

Calculate

4

x = 4

Show Solution

Rewrite the equation

x = 4

Evaluate

15 x - 3 (3 x - 2) = 45 - 5 (2 x - 5)

Evaluate

More Steps

Evaluate

15 x - 3 (3 x - 2)

Expand the expression

More Steps

Calculate

- 3 (3 x - 2)

Apply the distributive property

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

Multiply the numbers

- 9 x - (- 3 \times 2)

Multiply the numbers

- 9 x - (- 6)

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

- 9 x + 6

15 x - 9 x + 6

Subtract the terms

More Steps

Evaluate

15 x - 9 x

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

(15 - 9) x

Subtract the numbers

6 x

6 x + 6

6 x + 6 = 45 - 5 (2 x - 5)

Evaluate

More Steps

Evaluate

45 - 5 (2 x - 5)

Expand the expression

More Steps

Calculate

- 5 (2 x - 5)

Apply the distributive property

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

Multiply the numbers

- 10 x - (- 5 \times 5)

Multiply the numbers

- 10 x - (- 25)

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 x + 25

45 - 10 x + 25

Add the numbers

70 - 10 x

6 x + 6 = 70 - 10 x

Move the variable to the left side

16 x + 6 = 70

Move the constant to the right side

16 x = 64

Solution

x = 4

Show Solution

Solve the equation

Rewrite the equation

Graph