Certainly! Let's solve the equation step by step.
1. Start with the given equation:
[tex]\[
2(3x - 2.7) = 3x - 5.4
\][/tex]
2. Distribute the 2 on the left-hand side:
[tex]\[
2 \cdot (3x) - 2 \cdot 2.7 = 3x - 5.4
\][/tex]
Simplifying the multiplications:
[tex]\[
6x - 5.4 = 3x - 5.4
\][/tex]
3. Now, we have:
[tex]\[
6x - 5.4 = 3x - 5.4
\][/tex]
4. To isolate the [tex]\( x \)[/tex] terms, subtract [tex]\( 3x \)[/tex] from both sides of the equation:
[tex]\[
6x - 3x - 5.4 = 3x - 3x - 5.4
\][/tex]
Simplifying this:
[tex]\[
3x - 5.4 = -5.4
\][/tex]
5. Next, add 5.4 to both sides to isolate the [tex]\( x \)[/tex] term:
[tex]\[
3x - 5.4 + 5.4 = -5.4 + 5.4
\][/tex]
Simplifying this:
[tex]\[
3x = 0
\][/tex]
6. Finally, divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{0}{3}
\][/tex]
Simplifying:
[tex]\[
x = 0
\][/tex]
Therefore, the solution to the equation [tex]\( 2(3x - 2.7) = 3x - 5.4 \)[/tex] is:
[tex]\[
x = 0
\][/tex]
