Solve 7x-5(2x+1)=5x+15

Question

7 x - 5 (2 x + 1) = 5 x + 15

Solve the equation

x = - \frac{5}{2}

Alternative Form

x = - 2.5

Evaluate

7 x - 5 (2 x + 1) = 5 x + 15

Move the expression to the left side

7 x - 5 (2 x + 1) - (5 x + 15) = 0

Subtract the terms

More Steps

Evaluate

7 x - 5 (2 x + 1) - (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

7 x - 5 (2 x + 1) - 5 x - 15

Subtract the terms

More Steps

Evaluate

7 x - 5 x

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

(7 - 5) x

Subtract the numbers

2 x

2 x - 5 (2 x + 1) - 15

2 x - 5 (2 x + 1) - 15 = 0

Calculate

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Evaluate

2 x - 5 (2 x + 1) - 15

Expand the expression

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Calculate

- 5 (2 x + 1)

Apply the distributive property

- 5 \times 2 x - 5 \times 1

Multiply the numbers

- 10 x - 5 \times 1

Any expression multiplied by 1 remains the same

- 10 x - 5

2 x - 10 x - 5 - 15

Subtract the terms

More Steps

Evaluate

2 x - 10 x

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

(2 - 10) x

Subtract the numbers

- 8 x

- 8 x - 5 - 15

Subtract the numbers

- 8 x - 20

- 8 x - 20 = 0

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

- 8 x = 0 + 20

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

- 8 x = 20

Change the signs on both sides of the equation

8 x = - 20

Divide both sides

\frac{8 x}{8} = \frac{- 20}{8}

Divide the numbers

x = \frac{- 20}{8}

Solution

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Evaluate

\frac{- 20}{8}

Cancel out the common factor 4

\frac{- 5}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{5}{2}

x = - \frac{5}{2}

Alternative Form

x = - 2.5

Show Solution

Rewrite the equation

2 x = - 5

Evaluate

7 x - 5 (2 x + 1) = 5 x + 15

Evaluate

More Steps

Evaluate

7 x - 5 (2 x + 1)

Expand the expression

More Steps

Calculate

- 5 (2 x + 1)

Apply the distributive property

- 5 \times 2 x - 5 \times 1

Multiply the numbers

- 10 x - 5 \times 1

Any expression multiplied by 1 remains the same

- 10 x - 5

7 x - 10 x - 5

Subtract the terms

More Steps

Evaluate

7 x - 10 x

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

(7 - 10) x

Subtract the numbers

- 3 x

- 3 x - 5

- 3 x - 5 = 5 x + 15

Move the variable to the left side

- 8 x - 5 = 15

Move the constant to the right side

- 8 x = 20

Multiply both sides

8 x = - 20

Solution

2 x = - 5

Show Solution

Solve the equation

Rewrite the equation

Graph