Sure, let’s solve the equation step-by-step. We need to simplify both sides of the equation and then solve for [tex]\( x \)[/tex].
The given equation is:
[tex]\[ 35 - 72 = 2x + 3 - 23 - (4 + 1) \][/tex]
1. Simplify the left side:
[tex]\[ 35 - 72 = -37 \][/tex]
2. Simplify the right side:
[tex]\[ 2x + 3 - 23 - (4 + 1) \][/tex]
- First, simplify the expression within the parentheses:
[tex]\[ 4 + 1 = 5 \][/tex]
- Substitute back into the equation:
[tex]\[ 2x + 3 - 23 - 5 \][/tex]
- Combine the constants:
[tex]\[ 3 - 23 - 5 = 3 - 28 = -25 \][/tex]
- Thus, the right side simplifies to:
[tex]\[ 2x - 25 \][/tex]
3. Set the simplified left side equal to the simplified right side:
[tex]\[ -37 = 2x - 25 \][/tex]
4. Solve for [tex]\( x \)[/tex]:
- Add 25 to both sides to isolate terms involving [tex]\( x \)[/tex]:
[tex]\[ -37 + 25 = 2x \][/tex]
[tex]\[ -12 = 2x \][/tex]
- Divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{-12}{2} \][/tex]
[tex]\[ x = -6 \][/tex]
Therefore, the solution to the equation is:
[tex]\[ x = -6 \][/tex]
