Solve 1 + 2(-9x - 5) = -6(x + 3) - 3x

Question

Solve the equation

$Solve for x$

x = 1

Evaluate

1 + 2 (- 9 x - 5) = - 6 (x + 3) - 3 x

Move the expression to the left side

1 + 2 (- 9 x - 5) - (- 6 (x + 3) - 3 x) = 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

1 + 2 (- 9 x - 5) + 6 (x + 3) + 3 x = 0

Calculate

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Evaluate

1 + 2 (- 9 x - 5) + 6 (x + 3) + 3 x

Expand the expression

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Calculate

2 (- 9 x - 5)

Apply the distributive property

2 (- 9 x) - 2 \times 5

Multiply the numbers

- 18 x - 2 \times 5

Multiply the numbers

- 18 x - 10

1 - 18 x - 10 + 6 (x + 3) + 3 x

Expand the expression

More Steps

Calculate

6 (x + 3)

Apply the distributive property

6 x + 6 \times 3

Multiply the numbers

6 x + 18

1 - 18 x - 10 + 6 x + 18 + 3 x

Calculate the sum or difference

9 - 18 x + 6 x + 3 x

Add the terms

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Evaluate

- 18 x + 6 x + 3 x

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

(- 18 + 6 + 3) x

Add the numbers

- 9 x

9 - 9 x

9 - 9 x = 0

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

- 9 x = 0 - 9

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

- 9 x = - 9

Change the signs on both sides of the equation

9 x = 9

Divide both sides

\frac{9 x}{9} = \frac{9}{9}

Divide the numbers

x = \frac{9}{9}

Solution

More Steps

Evaluate

\frac{9}{9}

Reduce the numbers

\frac{1}{1}

Calculate

1

x = 1

Show Solution

Rewrite the equation

Rewrite in standard form

x = 1

Evaluate

1 + 2 (- 9 x - 5) = - 6 (x + 3) - 3 x

Evaluate

More Steps

Evaluate

1 + 2 (- 9 x - 5)

Expand the expression

More Steps

Calculate

2 (- 9 x - 5)

Apply the distributive property

2 (- 9 x) - 2 \times 5

Multiply the numbers

- 18 x - 2 \times 5

Multiply the numbers

- 18 x - 10

1 - 18 x - 10

Subtract the numbers

- 9 - 18 x

- 9 - 18 x = - 6 (x + 3) - 3 x

Evaluate

More Steps

Evaluate

- 6 (x + 3) - 3 x

Expand the expression

More Steps

Calculate

- 6 (x + 3)

Apply the distributive property

- 6 x - 6 \times 3

Multiply the numbers

- 6 x - 18

- 6 x - 18 - 3 x

Subtract the terms

More Steps

Evaluate

- 6 x - 3 x

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

(- 6 - 3) x

Subtract the numbers

- 9 x

- 9 x - 18

- 9 - 18 x = - 9 x - 18

Move the variable to the left side

- 9 - 9 x = - 18

Move the constant to the right side

- 9 x = - 9

Multiply both sides

9 x = 9

Solution

x = 1

Show Solution

1 + 2( 9x 5) = 6(x + 3) 3x

Solve the equation

$Solve for x$

Rewrite the equation

Rewrite in standard form

Graph