Sure, let's solve the given equation step by step.
We've been given the equation:
[tex]\[ x + 4 = 5x + 2 \][/tex]
Let’s solve for [tex]\( x \)[/tex] by isolating it on one side of the equation.
1. Start by eliminating the [tex]\( x \)[/tex] term on the right side of the equation.
Subtract [tex]\( x \)[/tex] from both sides of the equation:
[tex]\[ x + 4 - x = 5x + 2 - x \][/tex]
This simplifies to:
[tex]\[ 4 = 4x + 2 \][/tex]
2. Next, isolate the term with [tex]\( x \)[/tex] by eliminating constants on the right side.
Subtract 2 from both sides of the equation:
[tex]\[ 4 - 2 = 4x + 2 - 2 \][/tex]
This simplifies to:
[tex]\[ 2 = 4x \][/tex]
3. Solve for [tex]\( x \)[/tex] by dividing both sides by the coefficient of [tex]\( x \)[/tex], which is 4.
[tex]\[ \frac{2}{4} = \frac{4x}{4} \][/tex]
Simplifies to:
[tex]\[ \frac{1}{2} = x \][/tex]
Thus, the solution to the equation [tex]\( x + 4 = 5x + 2 \)[/tex] is:
[tex]\[ x = \frac{1}{2} \][/tex]
