Step 1: Simplify both sides of the equation.
0.4x+16+0.3(x−(0.4+16)+20)+0.75(x−(0.4x+16))−(0.3(x−0.4x+16)+20)+30=x
0.4x+16+(0.3)(x)+(0.3)(−0.4)+(0.3)(−16)+(0.3)(20)+(0.75)(x)+(0.75)(−0.4x)+(0.75)(−16)+(−0.3)(x)+(−0.3)(−0.4x)+(−0.3)(16)+−20+30=x(Distribute)
0.4x+16+0.3x+−0.12+−4.8+6+0.75x+−0.3x+−12+−0.3x+0.12x+−4.8+−20+30=x
(0.4x+0.3x+0.75x+−0.3x+−0.3x+0.12x)+(16+−0.12+−4.8+6+−12+−4.8+−20+30)=x(Combine Like Terms)
0.97x+10.28=x
0.97x+10.28=x
Step 2: Subtract x from both sides.
0.97x+10.28−x=x−x
−0.03x+10.28=0
Step 3: Subtract 10.28 from both sides.
−0.03x+10.28−10.28=0−10.28
−0.03x=−10.28
Step 4: Divide both sides by -0.03.
−0.03x
−0.03
=
−10.28
−0.03
x=342.666667
