Alright, let’s solve the equation step-by-step:
Given equation:
[tex]\[ 2x - 6 = x + 10 \][/tex]
1. Isolate [tex]\(x\)[/tex]:
To do this, we first want to move all the terms involving [tex]\(x\)[/tex] onto one side of the equation and the constant terms (numbers without [tex]\(x\)[/tex]) onto the other side.
2. Subtract [tex]\(x\)[/tex] from both sides:
[tex]\[ 2x - 6 - x = x + 10 - x \][/tex]
This simplifies to:
[tex]\[ x - 6 = 10 \][/tex]
3. Add 6 to both sides:
[tex]\[ x - 6 + 6 = 10 + 6 \][/tex]
This simplifies to:
[tex]\[ x = 16 \][/tex]
So, the solution to the equation [tex]\(2x - 6 = x + 10\)[/tex] is:
[tex]\[ x = 16 \][/tex]
This is the value of [tex]\(x\)[/tex] that satisfies the given equation.
