Solve 2,3x-11,2/3=1,7x-9,4/-2

$$\frac { 2,3 x - 11,2 } { 3 } = \frac { 1,7 x - 9,4 } { - 2 }$$

Solve for x

$$x=\frac{506}{97}\approx 5,216494845$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3;-2.

$$2\left(2,3x-11,2\right)=-3\left(1,7x-9,4\right)$$

Use the distributive property to multiply 2 by 2,3x-11,2.

$$4,6x-22,4=-3\left(1,7x-9,4\right)$$

Use the distributive property to multiply -3 by 1,7x-9,4.

$$4,6x-22,4=-5,1x+28,2$$

Add 5,1x to both sides.

$$4,6x-22,4+5,1x=28,2$$

Combine 4,6x and 5,1x to get 9,7x.

$$9,7x-22,4=28,2$$

Add 22,4 to both sides.

$$9,7x=28,2+22,4$$

Add 28,2 and 22,4 to get 50,6.

$$9,7x=50,6$$

Divide both sides by 9,7.

$$x=\frac{50,6}{9,7}$$

Expand \frac{50,6}{9,7} by multiplying both numerator and the denominator by 10.

$$x=\frac{506}{97}$$