Step 1: Simplify both sides of the equation.
0.4(12−3x)=0.3(12x−16)
(0.4)(12)+(0.4)(−3x)=(0.3)(12x)+(0.3)(−16)(Distribute)
4.8+−1.2x=3.6x+−4.8
−1.2x+4.8=3.6x−4.8
Step 2: Subtract 3.6x from both sides.
−1.2x+4.8−3.6x=3.6x−4.8−3.6x
−4.8x+4.8=−4.8
Step 3: Subtract 4.8 from both sides.
−4.8x+4.8−4.8=−4.8−4.8
−4.8x=−9.6
Step 4: Divide both sides by -4.8.
−4.8x /−4.8 = −9.6 /−4.8
x = 2