Solve 10x=30(1-x)+60(1-0.5+x)

$$10x=30(1-x)+60(1-0.5+x)$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 30 by 1-x.

$$10x=30-30x+60\left(1-0.5+x\right)$$

Subtract 0.5 from 1 to get 0.5.

$$10x=30-30x+60\left(0.5+x\right)$$

Use the distributive property to multiply 60 by 0.5+x.

$$10x=30-30x+30+60x$$

Add 30 and 30 to get 60.

$$10x=60-30x+60x$$

Combine -30x and 60x to get 30x.

$$10x=60+30x$$

Subtract 30x from both sides.

$$10x-30x=60$$

Combine 10x and -30x to get -20x.

$$-20x=60$$

Divide both sides by -20.

$$x=\frac{60}{-20}$$

Divide 60 by -20 to get -3.

$$x=-3$$