Algebra Examples

$7 x + 3 = 4 x - 5 x + 12$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$4 x - 5 x + 12 = 7 x + 3$

Step 2

Subtract $5 x$ from $4 x$ .

$- x + 12 = 7 x + 3$

Step 3

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

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Step 3.1

Subtract $7 x$ from both sides of the equation.

$- x + 12 - 7 x = 3$

Step 3.2

Subtract $7 x$ from $- x$ .

$- 8 x + 12 = 3$

Step 4

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

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Step 4.1

Subtract $12$ from both sides of the equation.

$- 8 x = 3 - 12$

Step 4.2

Subtract $12$ from $3$ .

$- 8 x = - 9$

Step 5

Divide each term in $- 8 x = - 9$ by $- 8$ and simplify.

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Step 5.1

Divide each term in $- 8 x = - 9$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 9}{- 8}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 8$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 9}{- 8}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 9}{- 8}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Dividing two negative values results in a positive value.

$x = \frac{9}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{8}$

Decimal Form:

$x = 1.125$

Mixed Number Form:

$x = 1 \frac{1}{8}$