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Chapter 7: Problem 51

Solve the equation. $$ 2(z-3)=12 $$

Short Answer

Expert verified
The solution to the equation is \(z = 9\)

Step by step solution

01

Simplify the equation on left side

Multiply through the parentheses on the left side of the equation: \(2 \times z - 2 \times 3\), which simplifies to \(2z - 6\). Our equation now looks like this: \(2z - 6 = 12\)
02

Transpose

Next, add 6 to both sides of the equation to isolate 2z on one side. This results in the equation \(2z = 18\)
03

Isolate the variable

In order to solve for z, divide each side of the equation by 2. This results in \(z = 9\)

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