Question

the same side of the imaginary line
ation. show steps! circle the answer.

1. 4x + 12(x - 3) = 28

Explanation:

Step1: Expand the equation

Expand \(12(x - 3)\) using the distributive property \(a(b - c)=ab - ac\). So \(12(x - 3)=12x-36\). The equation becomes \(4x+12x - 36=28\).

Step2: Combine like - terms

Combine the \(x\) terms: \(4x+12x=(4 + 12)x=16x\). The equation is now \(16x-36 = 28\).

Step3: Isolate the variable term

Add \(36\) to both sides of the equation. Using the addition property of equality \(a=b\Rightarrow a + c=b + c\). So \(16x-36+36=28 + 36\), which simplifies to \(16x=64\).

Step4: Solve for \(x\)

Divide both sides by \(16\) using the division property of equality \(a=b\Rightarrow\frac{a}{c}=\frac{b}{c}(c
eq0)\). So \(x=\frac{64}{16}\).

Answer:

\(x = 4\)