Answer :

We start with the equation

[tex]$$4x - 7 = 2x - 15.$$[/tex]

Step 1. Combine like terms

Subtract [tex]$2x$[/tex] from both sides to gather the [tex]$x$[/tex] terms on one side:

[tex]$$4x - 2x - 7 = -15,$$[/tex]

which simplifies to

[tex]$$2x - 7 = -15.$$[/tex]

Step 2. Isolate the [tex]$x$[/tex] term

Add [tex]$7$[/tex] to both sides of the equation to move the constant term:

[tex]$$2x - 7 + 7 = -15 + 7,$$[/tex]

resulting in

[tex]$$2x = -8.$$[/tex]

Step 3. Solve for [tex]$x$[/tex]

Divide both sides by the coefficient of [tex]$x$[/tex], which is [tex]$2$[/tex], to solve for [tex]$x$[/tex]:

[tex]$$x = \frac{-8}{2} = -4.$$[/tex]

Thus, the solution to the equation is

[tex]$$x = -4.$$[/tex]

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