Finite Math Examples

$6 x - 2 + 7 = 4 x + 5 - 6 x$

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.

$4 x + 5 - 6 x = 6 x - 2 + 7$

Step 2

Subtract $6 x$ from $4 x$ .

$- 2 x + 5 = 6 x - 2 + 7$

Step 3

Add $- 2$ and $7$ .

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

Step 4

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

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Step 4.1

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

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

Step 4.2

Subtract $6 x$ from $- 2 x$ .

$- 8 x + 5 = 5$

Step 5

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

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Step 5.1

Subtract $5$ from both sides of the equation.

$- 8 x = 5 - 5$

Step 5.2

Subtract $5$ from $5$ .

$- 8 x = 0$

Step 6

Divide each term in $- 8 x = 0$ by $- 8$ and simplify.

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Step 6.1

Divide each term in $- 8 x = 0$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{0}{- 8}$

Step 6.2

Simplify the left side.

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Step 6.2.1

Cancel the common factor of $- 8$ .

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Step 6.2.1.1

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{0}{- 8}$

Step 6.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{- 8}$

Step 6.3

Simplify the right side.

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Step 6.3.1

Divide $0$ by $- 8$ .

$x = 0$