Answer :

Certainly! Let's solve the equation step-by-step:

The given equation is:

[tex]\[ 7 - 4x + 3 = x - 16 - 3x \][/tex]

1. Simplify both sides of the equation:

First, combine like terms on each side.

- On the left side: [tex]\(7 + 3 - 4x = 10 - 4x\)[/tex]
- On the right side: [tex]\(x - 3x - 16 = -2x - 16\)[/tex]

This simplifies the equation to:

[tex]\[ 10 - 4x = -2x - 16 \][/tex]

2. Rearrange to bring all x terms to one side:

We want to get all the x terms on one side and the constant terms on the other.

- Add [tex]\(2x\)[/tex] to both sides to get the x terms together:

[tex]\[ 10 - 4x + 2x = -2x + 2x - 16 \][/tex]

- Simplify the equation:

[tex]\[ 10 - 2x = -16 \][/tex]

3. Solve for x:

Now, isolate x by adding 16 to both sides:

[tex]\[ 10 + 16 - 2x = -16 + 16 \][/tex]

This simplifies to:

[tex]\[ 26 - 2x = 0 \][/tex]

Next, solve for [tex]\(x\)[/tex] by dividing both sides by 2:

[tex]\[ 26 = 2x \][/tex]

So, divide 26 by 2:

[tex]\[ x = \frac{26}{2} \][/tex]

[tex]\[ x = 13 \][/tex]

Therefore, the solution to the equation is [tex]\(x = 13\)[/tex].

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