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Chapter 3: Problem 40

Solve the equation. $$9 x-5(3 x-12)=30$$

Short Answer

Expert verified
The solution to the equation is \(x = 5\).

Step by step solution

01

Expand the Parenthesis

Multiply the numbers in the parenthesis by the number outside, which leads to the equation: \(9x - 15x + 60 = 30 \)
02

Simplify the Equation

Combine like terms on the left side of the equation: \(-6x + 60 = 30 \)
03

Isolate x

Subtract 60 from both sides of the equation: \(-6x = -30 \)
04

Solve for x

Divide both sides of the equation by -6 to get \(x = 5\)

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