Certainly! Let's solve the equation step-by-step:
Given:
[tex]\[ -5 - 13 + 4x = a - 2 \][/tex]
1. Combine like terms on the left side:
Simplify the constants:
[tex]\[ -5 - 13 = -18 \][/tex]
So the equation becomes:
[tex]\[ -18 + 4x = a - 2 \][/tex]
2. Isolate the term involving [tex]\( x \)[/tex] on one side:
To isolate [tex]\( 4x \)[/tex], add 18 to both sides of the equation:
[tex]\[ 4x = a - 2 + 18 \][/tex]
[tex]\[ 4x = a + 16 \][/tex]
3. Solve for [tex]\( x \)[/tex]:
Divide both sides by 4:
[tex]\[ x = \frac{a + 16}{4} \][/tex]
Thus, the solution to the equation [tex]\(-5 - 13 + 4x = a - 2\)[/tex] is:
[tex]\[ x = \frac{a + 16}{4} \][/tex]
