Answer

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**Hint:**We separate the variables and the constants of the equation $3x+5x+4$. We apply the binary operation of addition for variables. The solutions of the variables and the constants will be added at the end to get the final answer.

**Complete step by step solution:**

The given equation $3x+5x+4$ is a linear equation of x. We need to simplify the equation by solving the variables and the constants separately.

All the terms in the equation of $3x+5x+4$ are either variable of x or a constant. We first separate the variables.

There are two such variables which are $3x$ and $5x$. The signs of the variables are both positive with coefficients being 3 and 5 respectively.

The binary operation between them is addition which gives us $3x+5x=8x$.

Now we take the constants. There is only one constant which is 4.

**The final simplified form becomes $3x+5x+4=8x+4$.**

**Note:**To more simplify the final solution we can also express it as the factor form.

We can take 4 as the common constant of the equation and get $8x+4=4\left( 2x+1 \right)$.

We can verify the result of the equation $3x+5x+4=8x+4$ by taking an arbitrary value of x as $x=2$.

Therefore, the left-hand side of the equation becomes

$3x+5x+4=3\times 2+5\times 2+4=6+10+4=20$

The right-hand side of the equation is $8x+4=8\times 2+4=16+4=20$.

Thus, verified the equation $3x+5x+4=8x+4$.

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