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Solve each equation. Check your solution.

0=12x-3

Short Answer

Expert verified

The solution of given equation is x=6.

Step by step solution

01

–Properties of equality.

According to the addition property of equality, if a=b, then a+c=b+c, where a,b,c are real values.

According to the multiplication property of equality, if a=b, then ac=bc, where a,b,c are real values.

02

– Given information.

The given equation is:

0=12x-3

03

– Solve the given equation.

The given equation is:

0=12x-3

Add 3on both sides of the above equation.

0+3=12x−3+33=12x

Multiply both sides by 2.

2×3=2×12x6=x

Thus, the solution of given equation is x=6.

04

– Verify the solution.

If left hand side of the given equation is equal to the right hand side of the equation for x=6then it is the correct solution.

Substitute x=6in the given equation.

0=126−30=3−30=0

Left hand side is equal to the right hand side. Thus the solution x=6 is correct.

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