Solve 6(0,4x-1,4)=-3,9(1,2x-0,8)

$$6 ( 0,4 x - 1,4 ) = - 3,9 ( 1,2 x - 0,8 )$$

Solve for x

$$x=\frac{96}{59}\approx 1,627118644$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 0,4x-1,4.

$$2,4x-8,4=-3,9\left(1,2x-0,8\right)$$

Use the distributive property to multiply -3,9 by 1,2x-0,8.

$$2,4x-8,4=-4,68x+3,12$$

Add 4,68x to both sides.

$$2,4x-8,4+4,68x=3,12$$

Combine 2,4x and 4,68x to get 7,08x.

$$7,08x-8,4=3,12$$

Add 8,4 to both sides.

$$7,08x=3,12+8,4$$

Add 3,12 and 8,4 to get 11,52.

$$7,08x=11,52$$

Divide both sides by 7,08.

$$x=\frac{11,52}{7,08}$$

Expand \frac{11,52}{7,08} by multiplying both numerator and the denominator by 100.

$$x=\frac{1152}{708}$$

Reduce the fraction \frac{1152}{708} to lowest terms by extracting and canceling out 12.

$$x=\frac{96}{59}$$