Solve 3-(1,4-x)+5x=-(x-4,8)

$$3 - ( 1,4 - x ) + 5 x = - ( x - 4,8 )$$

Solve for x

$$x=\frac{16}{35}\approx 0,457142857$$

Steps for Solving Linear Equation

To find the opposite of 1,4-x, find the opposite of each term.

$$3-1,4-\left(-x\right)+5x=-\left(x-4,8\right)$$

The opposite of -x is x.

$$3-1,4+x+5x=-\left(x-4,8\right)$$

Subtract 1,4 from 3 to get 1,6.

$$1,6+x+5x=-\left(x-4,8\right)$$

Combine x and 5x to get 6x.

$$1,6+6x=-\left(x-4,8\right)$$

To find the opposite of x-4,8, find the opposite of each term.

$$1,6+6x=-x-\left(-4,8\right)$$

The opposite of -4,8 is 4,8.

$$1,6+6x=-x+4,8$$

Add x to both sides.

$$1,6+6x+x=4,8$$

Combine 6x and x to get 7x.

$$1,6+7x=4,8$$

Subtract 1,6 from both sides.

$$7x=4,8-1,6$$

Subtract 1,6 from 4,8 to get 3,2.

$$7x=3,2$$

Divide both sides by 7.

$$x=\frac{3,2}{7}$$

Expand \frac{3,2}{7} by multiplying both numerator and the denominator by 10.

$$x=\frac{32}{70}$$

Reduce the fraction \frac{32}{70} to lowest terms by extracting and canceling out 2.

$$x=\frac{16}{35}$$