Question 32135
Here are two examples.
2x + 5 = 7 - 9x
add 9x to both sides,
11x + 5 = 7
subtract 5 from both sides,
11x = 2
divide both sides by 11,
x = 2/11
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{{{3/(x+2) = 5/(3-2x)}}}
cross-multiply. Multiply the numerator on the lhs by the denominator on the rhs and multiply the numerator on the rhs by the denominator on the lhs. This gives,
3(3-2x) = 5(x+2)
multiply out the brackets,
9 - 6x = 5x + 10
add 6x to both sides,
9 = 11x + 10
subtract 10 from both sides,
-1 = 11x
rearrange the eqn,
11x = -1
divide both sides by 11,
x = -1/11
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