Answer:
x = [tex]\frac{86}{179}[/tex]
Step-by-step explanation:
7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6
Multiply both sides by 10:
7.4x×10+4.1(2x-4)×10=-2.3(x-6)×10-21.6×10
Refine:
74x+41(2x-4)=-23(x-6)-216
Distributive Property:
74x+82x-164=-23(x-6)-216
Combine like terms:
156x-164=-23(x-6)-216
Distributive Property:
156x-164=-23x+138-216
Combine like terms:
156x-164=-23x-78
Add 164 to both sides:
156x-164+164=-23x-78+164
Simplify:
156x=-23x+86
Add 23x to both sides:
156x+23x=-23x+86+23x
Simplify:
179x=86
Divide both sides by 179:
[tex]\frac{179x}{179}[/tex]=[tex]\frac{86}{179}[/tex]
Simplify:
x = [tex]\frac{86}{179}[/tex]