Solve 5(x-1)+3(2-x)=0

$$5 ( x - 1 ) + 3 ( 2 - x ) = 0$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-1.

$$5x-5+3\left(2-x\right)=0$$

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

$$5x-5+6-3x=0$$

Add -5 and 6 to get 1.

$$5x+1-3x=0$$

Combine 5x and -3x to get 2x.

$$2x+1=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$2x=-1$$

Divide both sides by 2.

$$x=\frac{-1}{2}$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$x=-\frac{1}{2}$$