Question

1.3 general linear equations: problem 5 (1 point) solve the equation for x and select the answer which best describes the equation. (enter the numerical answer or all real numbers or no solution ) 4x + 1 = 7(x - 3)+3x note: you can earn partial credit on this problem. preview my answers submit answers you have attempted this problem 0 times. you have unlimited attempts remaining. email instructor

Explanation:

Step1: Expand the right - hand side

First, expand \(7(x - 3)+3x\) using the distributive property \(a(b - c)=ab - ac\). So \(7(x - 3)+3x=7x-21 + 3x=10x-21\). The original equation \(4x + 1=7(x - 3)+3x\) becomes \(4x + 1=10x-21\).

Step2: Move x terms to one side

Subtract \(4x\) from both sides of the equation: \(4x+1-4x=10x - 21-4x\), which simplifies to \(1 = 6x-21\).

Step3: Isolate the x - term

Add 21 to both sides: \(1 + 21=6x-21 + 21\), resulting in \(22=6x\).

Step4: Solve for x

Divide both sides by 6: \(x=\frac{22}{6}=\frac{11}{3}\).

Answer:

\(\frac{11}{3}\)