randVar() rand(2) randRange(2, 6) randRange(2, 12) DENOMINATOR2 * randRange(2, 6) randRangeNonZero(-12, 12) plus(X, CONSTANT) DENOMINATOR1 * NUMERATOR2 / DENOMINATOR2 - CONSTANT

Solve for `X`.

`\dfrac{EXPR}{DENOMINATOR1} = \dfrac{NUMERATOR2}{DENOMINATOR2}`

`\dfrac{NUMERATOR2}{DENOMINATOR2} = \dfrac{EXPR}{DENOMINATOR1}`

`X =` SOLUTION

Multiply both sides by `\blue{DENOMINATOR1}`.

`\blue{DENOMINATOR1} \times \dfrac{EXPR}{DENOMINATOR1} = \dfrac{NUMERATOR2}{DENOMINATOR2} \times \blue{DENOMINATOR1}`

`\blue{DENOMINATOR1} \times \dfrac{NUMERATOR2}{DENOMINATOR2} = \dfrac{EXPR}{DENOMINATOR1} \times \blue{DENOMINATOR1}`

`EXPR = \dfrac{\blue{DENOMINATOR1} \times NUMERATOR2}{DENOMINATOR2}`

`\dfrac{\blue{DENOMINATOR1} \times NUMERATOR2}{DENOMINATOR2} = EXPR`

`EXPR = \dfrac{DENOMINATOR1 * NUMERATOR2}{DENOMINATOR2}`

`EXPR = fractionReduce(DENOMINATOR1 * NUMERATOR2, DENOMINATOR2)`

`X = SOLUTION`

randVar() rand(2) randRange(2, 6) randRange(2, 12) NUMERATOR2 * randRange(2, 6) randRangeNonZero(-12, 12) plus(X, CONSTANT) DENOMINATOR2 * NUMERATOR1 / NUMERATOR2 - CONSTANT

Solve for `X`.

`\dfrac{NUMERATOR1}{EXPR} = \dfrac{NUMERATOR2}{DENOMINATOR2}`

`\dfrac{NUMERATOR2}{DENOMINATOR2} = \dfrac{NUMERATOR1}{EXPR}`

`X =` SOLUTION

Multiply both sides by `\blue{(EXPR)}`.

`\dfrac{NUMERATOR1}{EXPR} \times \blue{(EXPR)} = \dfrac{NUMERATOR2}{DENOMINATOR2} \times \blue{(EXPR)}`

`NUMERATOR1 = \dfrac{NUMERATOR2}{DENOMINATOR2}\blue{(EXPR)}`

Multiply both sides by `\green{\dfrac{DENOMINATOR2}{NUMERATOR2}}`.

`NUMERATOR1 \times \green{\dfrac{DENOMINATOR2}{NUMERATOR2}} = \dfrac{NUMERATOR2}{DENOMINATOR2} \blue{(EXPR)} \times \green{\dfrac{DENOMINATOR2}{NUMERATOR2}}`

`\dfrac{NUMERATOR1 \times \green{DENOMINATOR2}}{\green{NUMERATOR2}} = \blue{EXPR}`

Multiply both sides by `\blue{(EXPR)}`.

`\blue{(EXPR)} \times \dfrac{NUMERATOR2}{DENOMINATOR2} = \dfrac{NUMERATOR1}{EXPR} \times \blue{(EXPR)}`

`\dfrac{NUMERATOR2}{DENOMINATOR2}\blue{(EXPR)} = NUMERATOR1`

Multiply both sides by `\green{\dfrac{DENOMINATOR2}{NUMERATOR2}}`.

`\dfrac{NUMERATOR2}{DENOMINATOR2} \blue{(EXPR)} \times \green{\dfrac{DENOMINATOR2}{NUMERATOR2}} = NUMERATOR1 \times \green{\dfrac{DENOMINATOR2}{NUMERATOR2}}`

`\blue{EXPR} = \dfrac{NUMERATOR1 \times \green{DENOMINATOR2}}{\green{NUMERATOR2}}`

`EXPR = \dfrac{DENOMINATOR2 * NUMERATOR1}{NUMERATOR2}`

`EXPR = fractionReduce(DENOMINATOR2 * NUMERATOR1, NUMERATOR2)`

`X = SOLUTION`