Question

7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6

Answer 1

Answer:

x = $\frac{86}{179}$

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:

$\frac{179x}{179}$=$\frac{86}{179}$

Simplify:

x = $\frac{86}{179}$