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1 vote
1/2(8x+4)=6(x+2) I need help please

2 Answers

3 votes

Answer:

x=-5

Explanation:

(8x+4)/2=6x+12

4x+2=6x+12

-2x=10

x=-5

User Shahidur
by
8.6k points
1 vote

Answer:

x = -5

Explanation:

Given equation:


(1)/(2)(8x+4)=6(x+2)

Multiply both sides of the equation by 2 to eliminate the fraction on the left side:


\implies 2\cdot(1)/(2)(8x+4)=2\cdot6(x+2)


\implies (8x+4)=12(x+2)


\implies 8x+4=12(x+2)

Distribute the right side of the equation:


\implies 8x+4=12\cdot x+12 \cdot 2


\implies 8x+4=12x+24

Switch sides:


\implies 12x+24=8x+4

Subtract 8x from both sides of the equation:


\implies 12x+24-8x=8x+4-8x


\implies 4x+24=4

Subtract 24 from both sides of the equation:


\implies 4x+24-24=4-24


\implies 4x=-20

Divide both sides of the equation by 4:


\implies (4x)/(4)=(-20)/(4)


\implies x=-5

Therefore, the value of x is -5.

User Sam Bellerose
by
7.6k points

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