Sure, let's solve for [tex]\( x \)[/tex] in each equation step by step.
### Part (a) [tex]\( 3x + 2x + 3 - 5 = 2 \)[/tex]
1. Combine like terms on the left side of the equation:
[tex]\[
3x + 2x = 5x
\][/tex]
So the equation becomes:
[tex]\[
5x + 3 - 5 = 2
\][/tex]
2. Simplify further by combining the constant terms on the left side:
[tex]\[
3 - 5 = -2
\][/tex]
This gives us:
[tex]\[
5x - 2 = 2
\][/tex]
3. Isolate the variable [tex]\( x \)[/tex] by adding 2 to both sides:
[tex]\[
5x - 2 + 2 = 2 + 2
\][/tex]
Simplifying this, we get:
[tex]\[
5x = 4
\][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 5:
[tex]\[
x = \frac{4}{5}
\][/tex]
Hence, the solution for part (a) is:
[tex]\[
x = 0.8
\][/tex]
### Part (b) [tex]\( 3x + 25 - 2x = 2 \)[/tex]
1. Combine like terms on the left side of the equation:
[tex]\[
3x - 2x = x
\][/tex]
So the equation becomes:
[tex]\[
x + 25 = 2
\][/tex]
2. Isolate the variable [tex]\( x \)[/tex] by subtracting 25 from both sides:
[tex]\[
x + 25 - 25 = 2 - 25
\][/tex]
Simplifying this, we get:
[tex]\[
x = -23
\][/tex]
Hence, the solution for part (b) is:
[tex]\[
x = -23
\][/tex]
### Final Answers
Part (a): [tex]\( x = 0.8 \)[/tex]
Part (b): [tex]\( x = -23 \)[/tex]
