Solve -5(-5x 1)-9x=2(x-2)-9

Question

Solve the equation

x = - \frac{13}{14}

Alternative Form

x = - 0.9 \dot{2} 8571 \dot{4}

Evaluate

- 5 (- 5 x \times 1) - 9 x = 2 (x - 2) - 9

Rewrite the expression

- 5 (- 5) x \times 1 - 9 x = 2 (x - 2) - 9

Simplify

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Evaluate

- 5 (- 5) x \times 1 - 9 x

Multiply the terms

More Steps

Multiply the terms

- 5 (- 5) x \times 1

Rewrite the expression

- 5 (- 5) x

Rewrite the expression

5 \times 5 x

Multiply the terms

25 x

25 x - 9 x

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

(25 - 9) x

Subtract the numbers

16 x

16 x = 2 (x - 2) - 9

Move the expression to the left side

16 x - (2 (x - 2) - 9) = 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

16 x - 2 (x - 2) + 9 = 0

Calculate the sum or difference

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Evaluate

16 x - 2 (x - 2) + 9

Expand the expression

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Calculate

- 2 (x - 2)

Apply the distributive property

- 2 x - (- 2 \times 2)

Multiply the numbers

- 2 x - (- 4)

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

- 2 x + 4

16 x - 2 x + 4 + 9

Subtract the terms

More Steps

Evaluate

16 x - 2 x

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

(16 - 2) x

Subtract the numbers

14 x

14 x + 4 + 9

Add the numbers

14 x + 13

14 x + 13 = 0

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

14 x = 0 - 13

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

14 x = - 13

Divide both sides

\frac{14 x}{14} = \frac{- 13}{14}

Divide the numbers

x = \frac{- 13}{14}

Solution

x = - \frac{13}{14}

Alternative Form

x = - 0.9 \dot{2} 8571 \dot{4}

Show Solution

Rewrite the equation

14 x = - 13

Evaluate

- 5 (- 5 x \times 1) - 9 x = 2 (x - 2) - 9

Evaluate

More Steps

Evaluate

- 5 (- 5 x \times 1) - 9 x

Rewrite the expression

- 5 (- 5) x \times 1 - 9 x

Multiply the terms

More Steps

Multiply the terms

- 5 (- 5) x \times 1

Rewrite the expression

- 5 (- 5) x

Rewrite the expression

5 \times 5 x

Multiply the terms

25 x

25 x - 9 x

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

(25 - 9) x

Subtract the numbers

16 x

16 x = 2 (x - 2) - 9

Evaluate

More Steps

Evaluate

2 (x - 2) - 9

Expand the expression

More Steps

Calculate

2 (x - 2)

Apply the distributive property

2 x - 2 \times 2

Multiply the numbers

2 x - 4

2 x - 4 - 9

Subtract the numbers

2 x - 13

16 x = 2 x - 13

Solution

14 x = - 13

Show Solution

Solve the equation

Rewrite the equation

Graph