Question

show all steps -modified- circle final answer
2)
$6 + 3(2x - 7) - 2x = 5x$

Explanation:

Step1: Expand the bracket

First, we expand \(3(2x - 7)\) using the distributive property \(a(b - c)=ab - ac\). So, \(3(2x - 7)=3\times2x - 3\times7 = 6x - 21\). The equation becomes:
\(6 + 6x - 21 - 2x = 5x\)

Step2: Combine like terms

Combine the \(x\)-terms and the constant terms on the left side. For the \(x\)-terms: \(6x - 2x = 4x\). For the constant terms: \(6 - 21=-15\). Now the equation is:
\(4x - 15 = 5x\)

Step3: Solve for \(x\)

Subtract \(4x\) from both sides of the equation to get all the \(x\)-terms on one side.
\(4x - 15 - 4x = 5x - 4x\)
Simplifying both sides gives:
\(-15 = x\)

Answer:

\(x = -15\)