Answer:
b=-1
Step-by-step explanation:
Let's solve your equation step-by-step.
0.5(5−7b)=8−(4b+6)
Step 1: Simplify both sides of the equation.
0.5(5−7b)=8−(4b+6)
0.5(5−7b)=8+−1(4b+6)(Distribute the Negative Sign)
0.5(5−7b)=8+−1(4b)+(−1)(6)
0.5(5−7b)=8+−4b+−6
(0.5)(5)+(0.5)(−7b)=8+−4b+−6(Distribute)
2.5+−3.5b=8+−4b+−6
−3.5b+2.5=(−4b)+(8+−6)(Combine Like Terms)
−3.5b+2.5=−4b+2
−3.5b+2.5=−4b+2
Step 2: Add 4b to both sides.
−3.5b+2.5+4b=−4b+2+4b
0.5b+2.5=2
Step 3: Subtract 2.5 from both sides.
0.5b+2.5−2.5=2−2.5
0.5b=−0.5
Step 4: Divide both sides by 0.5.
0.5b/0.5=−0.5/0.5
b=−1
