Solve 5x-(2-x)=-(4+3x)

$$5 x - ( 2 - x ) = - ( 4 + 3 x )$$

Solve for x

$$x=-\frac{2}{9}\approx -0.222222222$$

Steps for Solving Linear Equation

To find the opposite of 2-x, find the opposite of each term.

$$5x-2-\left(-x\right)=-\left(4+3x\right)$$

The opposite of -x is x.

$$5x-2+x=-\left(4+3x\right)$$

Combine 5x and x to get 6x.

$$6x-2=-\left(4+3x\right)$$

To find the opposite of 4+3x, find the opposite of each term.

$$6x-2=-4-3x$$

Add 3x to both sides.

$$6x-2+3x=-4$$

Combine 6x and 3x to get 9x.

$$9x-2=-4$$

Add 2 to both sides.

$$9x=-4+2$$

Add -4 and 2 to get -2.

$$9x=-2$$

Divide both sides by 9.

$$x=\frac{-2}{9}$$

Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.

$$x=-\frac{2}{9}$$