Algebra Examples

$4 x + 8 + 27 = 6 x$

Step 1

Add $8$ and $27$ .

$4 x + 35 = 6 x$

Step 2

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

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Step 2.1

Subtract $6 x$ from both sides of the equation.

$4 x + 35 - 6 x = 0$

Step 2.2

Subtract $6 x$ from $4 x$ .

$- 2 x + 35 = 0$

Step 3

Subtract $35$ from both sides of the equation.

$- 2 x = - 35$

Step 4

Divide each term in $- 2 x = - 35$ by $- 2$ and simplify.

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Step 4.1

Divide each term in $- 2 x = - 35$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 35}{- 2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 35}{- 2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 35}{- 2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Dividing two negative values results in a positive value.

$x = \frac{35}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{35}{2}$

Decimal Form:

$x = 17.5$

Mixed Number Form:

$x = 17 \frac{1}{2}$