Algebra Examples

$3 x - 8 - 5 x = 2 - 6 x - 7$

Step 1

Subtract $5 x$ from $3 x$ .

$- 2 x - 8 = 2 - 6 x - 7$

Step 2

Subtract $7$ from $2$ .

$- 2 x - 8 = - 6 x - 5$

Step 3

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

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Step 3.1

Add $6 x$ to both sides of the equation.

$- 2 x - 8 + 6 x = - 5$

Step 3.2

Add $- 2 x$ and $6 x$ .

$4 x - 8 = - 5$

Step 4

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

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Step 4.1

Add $8$ to both sides of the equation.

$4 x = - 5 + 8$

Step 4.2

Add $- 5$ and $8$ .

$4 x = 3$

Step 5

Divide each term in $4 x = 3$ by $4$ and simplify.

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Step 5.1

Divide each term in $4 x = 3$ by $4$ .

$\frac{4 x}{4} = \frac{3}{4}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $4$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{3}{4}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{3}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{4}$

Decimal Form:

$x = 0.75$