Solve (7+x)divx=4.126div0.65

$$(7+x) \div x=4.126 \div 0.65$$

Solve for x

$$x = \frac{2275}{1738} = 1\frac{537}{1738} \approx 1.308975834$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$7+x=x\times \frac{4.126}{0.65}$$

Expand \frac{4.126}{0.65} by multiplying both numerator and the denominator by 1000.

$$7+x=x\times \frac{4126}{650}$$

Reduce the fraction \frac{4126}{650} to lowest terms by extracting and canceling out 2.

$$7+x=x\times \frac{2063}{325}$$

Subtract x\times \frac{2063}{325} from both sides.

$$7+x-x\times \frac{2063}{325}=0$$

Combine x and -x\times \frac{2063}{325} to get -\frac{1738}{325}x.

$$7-\frac{1738}{325}x=0$$

Subtract 7 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1738}{325}x=-7$$

Multiply both sides by -\frac{325}{1738}, the reciprocal of -\frac{1738}{325}.

$$x=-7\left(-\frac{325}{1738}\right)$$

Express -7\left(-\frac{325}{1738}\right) as a single fraction.

$$x=\frac{-7\left(-325\right)}{1738}$$

Multiply -7 and -325 to get 2275.

$$x=\frac{2275}{1738}$$