Certainly! Let's solve the equation step by step:
The given equation is:
[tex]\[ 7x + 5 = 3x \][/tex]
1. First, we want to get all the terms involving [tex]\( x \)[/tex] on one side of the equation and the constant terms on the other side. To do this, we subtract [tex]\( 3x \)[/tex] from both sides of the equation:
[tex]\[ 7x + 5 - 3x = 3x - 3x \][/tex]
2. Simplifying both sides, we get:
[tex]\[ 4x + 5 = 0 \][/tex]
3. Next, we want to isolate the term involving [tex]\( x \)[/tex]. We do this by subtracting 5 from both sides of the equation:
[tex]\[ 4x + 5 - 5 = 0 - 5 \][/tex]
4. Simplifying both sides:
[tex]\[ 4x = -5 \][/tex]
5. Now, to solve for [tex]\( x \)[/tex], we need to divide both sides of the equation by 4:
[tex]\[ x = \frac{-5}{4} \][/tex]
6. Simplifying the fraction:
[tex]\[ x = -1.25 \][/tex]
So, the solution to the equation [tex]\( 7x + 5 = 3x \)[/tex] is:
[tex]\[ x = -1.25 \][/tex]
