Answer :

Sure! Let's solve the equation step by step:

The equation given is:

[tex]\[
-15 = 7 - 8x + 19x
\][/tex]

Step 1: Combine like terms on the right side of the equation.

On the right side, you have two terms that involve [tex]\( x \)[/tex]: [tex]\(-8x\)[/tex] and [tex]\(19x\)[/tex]. You can combine these to simplify the equation:

[tex]\[
-8x + 19x = 11x
\][/tex]

Therefore, the equation becomes:

[tex]\[
-15 = 7 + 11x
\][/tex]

Step 2: Isolate the term with [tex]\( x \)[/tex] on one side.

Subtract 7 from both sides to begin isolating the term with [tex]\( x \)[/tex]:

[tex]\[
-15 - 7 = 11x
\][/tex]

Simplifying the left side gives:

[tex]\[
-22 = 11x
\][/tex]

Step 3: Solve for [tex]\( x \)[/tex].

Now, divide both sides of the equation by 11 to solve for [tex]\( x \)[/tex]:

[tex]\[
x = \frac{-22}{11}
\][/tex]

Step 4: Simplify the final expression.

Simplifying the fraction gives:

[tex]\[
x = -2
\][/tex]

So, the solution to the equation is [tex]\( x = -2 \)[/tex].

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