Basic Math Examples

$G + J = 42 G - 4 + 5 J$

Step 1

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

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Step 1.1

Subtract $42 G$ from both sides of the equation.

$G + J - 42 G = - 4 + 5 J$

Step 1.2

Subtract $42 G$ from $G$ .

$- 41 G + J = - 4 + 5 J$

Step 2

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

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Step 2.1

Subtract $J$ from both sides of the equation.

$- 41 G = - 4 + 5 J - J$

Step 2.2

Subtract $J$ from $5 J$ .

$- 41 G = - 4 + 4 J$

Step 3

Divide each term in $- 41 G = - 4 + 4 J$ by $- 41$ and simplify.

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Step 3.1

Divide each term in $- 41 G = - 4 + 4 J$ by $- 41$ .

$\frac{- 41 G}{- 41} = \frac{- 4}{- 41} + \frac{4 J}{- 41}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 41$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 41 G}{- 41} = \frac{- 4}{- 41} + \frac{4 J}{- 41}$

Step 3.2.1.2

Divide $G$ by $1$ .

$G = \frac{- 4}{- 41} + \frac{4 J}{- 41}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Dividing two negative values results in a positive value.

$G = \frac{4}{41} + \frac{4 J}{- 41}$

Step 3.3.1.2

Move the negative in front of the fraction.

$G = \frac{4}{41} - \frac{4 J}{41}$