Algebra Examples

$3 x - 18 = 4 (- 3 - \frac{3}{4} x)$

Step 1

Simplify $4 (- 3 - \frac{3}{4} x)$ .

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Step 1.1

Rewrite.

$3 x - 18 = 0 + 0 + 4 (- 3 - \frac{3}{4} x)$

Step 1.2

Simplify by adding zeros.

$3 x - 18 = 4 (- 3 - \frac{3}{4} x)$

Step 1.3

Simplify each term.

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Step 1.3.1

Combine $x$ and $\frac{3}{4}$ .

$3 x - 18 = 4 (- 3 - \frac{x \cdot 3}{4})$

Step 1.3.2

Move $3$ to the left of $x$ .

$3 x - 18 = 4 (- 3 - \frac{3 x}{4})$

Step 1.4

Simplify terms.

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Step 1.4.1

Apply the distributive property.

$3 x - 18 = 4 \cdot - 3 + 4 (- \frac{3 x}{4})$

Step 1.4.2

Multiply $4$ by $- 3$ .

$3 x - 18 = - 12 + 4 (- \frac{3 x}{4})$

Step 1.4.3

Cancel the common factor of $4$ .

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Step 1.4.3.1

Move the leading negative in $- \frac{3 x}{4}$ into the numerator.

$3 x - 18 = - 12 + 4 \frac{- 3 x}{4}$

Step 1.4.3.2

Cancel the common factor.

$3 x - 18 = - 12 + 4 \frac{- 3 x}{4}$

Step 1.4.3.3

Rewrite the expression.

$3 x - 18 = - 12 - 3 x$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Add $3 x$ to both sides of the equation.

$3 x - 18 + 3 x = - 12$

Step 2.2

Add $3 x$ and $3 x$ .

$6 x - 18 = - 12$

Step 3

Move all terms not containing $x$ to the right side of the equation.

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Step 3.1

Add $18$ to both sides of the equation.

$6 x = - 12 + 18$

Step 3.2

Add $- 12$ and $18$ .

$6 x = 6$

Step 4

Divide each term in $6 x = 6$ by $6$ and simplify.

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Step 4.1

Divide each term in $6 x = 6$ by $6$ .

$\frac{6 x}{6} = \frac{6}{6}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $6$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{6}{6}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{6}{6}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $6$ by $6$ .

$x = 1$