Question

select all the correct answers.
select all equations that have the solution x = 7.
6(2x - 1) - 12 = -2(x + 10)
2(x + 7) = 28
60 = 4(x + 8)
3(x - 5) = 1 + 5(x - 6)

Explanation:

for each equation:

Equation 1: \(6(2x - 1)-12=-2(x + 10)\)

Step 1: Expand both sides

Left side: \(6(2x - 1)-12=12x-6 - 12=12x-18\)
Right side: \(-2(x + 10)=-2x-20\)

Step 2: Solve for \(x\)

\(12x-18=-2x - 20\)
\(12x + 2x=-20 + 18\)
\(14x=-2\)
\(x=-\frac{2}{14}=-\frac{1}{7}
eq7\)

Equation 2: \(2(x + 7)=28\)

Step 1: Divide both sides by 2

\(x + 7=\frac{28}{2}=14\)

Step 2: Subtract 7 from both sides

\(x=14 - 7=7\)

Equation 3: \(60 = 4(x + 8)\)

Step 1: Divide both sides by 4

\(15=x + 8\)

Step 2: Subtract 8 from both sides

\(x=15 - 8=7\)

Equation 4: \(3(x - 5)=1+5(x - 6)\)

Step 1: Expand both sides

Left side: \(3x-15\)
Right side: \(1 + 5x-30=5x-29\)

Step 2: Solve for \(x\)

\(3x-15=5x-29\)
\(-15 + 29=5x-3x\)
\(14 = 2x\)
\(x = 7\)

Answer:

B. \(2(x + 7)=28\)
C. \(60 = 4(x + 8)\)
D. \(3(x - 5)=1+5(x - 6)\)