Let's solve the given equation step by step:
The equation to solve is:
[tex]\[ 4x - (x + 3) = 7 + 2x \][/tex]
1. Distribute and simplify the equation on the left side:
[tex]\[ 4x - x - 3 = 7 + 2x \][/tex]
2. Combine like terms:
[tex]\[ 3x - 3 = 7 + 2x \][/tex]
3. Isolate the variable term by moving all [tex]\(x\)[/tex]-terms to one side and constant terms to the other side. Let's subtract [tex]\(2x\)[/tex] from both sides:
[tex]\[ 3x - 2x - 3 = 7 \][/tex]
[tex]\[ x - 3 = 7 \][/tex]
4. Add 3 to both sides to isolate [tex]\(x\)[/tex]:
[tex]\[ x = 7 + 3 \][/tex]
5. Combine the terms on the right side:
[tex]\[ x = 10 \][/tex]
So, the solution for the equation [tex]\( 4x - (x + 3) = 7 + 2x \)[/tex] is:
[tex]\[ x = 10 \][/tex]
