Solve 1,6/8=x/6+x

$$\frac { 1,6 } { 8 } = \frac { x } { 6 + x }$$

Solve for x

$$x=1,5$$

Steps for Solving Linear Equation

Variable x cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by 8\left(x+6\right), the least common multiple of 8;6+x.

$$\left(x+6\right)\times 1,6=8x$$

Use the distributive property to multiply x+6 by 1,6.

$$1,6x+9,6=8x$$

Subtract 8x from both sides.

$$1,6x+9,6-8x=0$$

Combine 1,6x and -8x to get -6,4x.

$$-6,4x+9,6=0$$

Subtract 9,6 from both sides. Anything subtracted from zero gives its negation.

$$-6,4x=-9,6$$

Divide both sides by -6,4.

$$x=\frac{-9,6}{-6,4}$$

Expand \frac{-9,6}{-6,4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-96}{-64}$$

Reduce the fraction \frac{-96}{-64} to lowest terms by extracting and canceling out -32.

$$x=\frac{3}{2}$$