1

Problem

Solve the equation: \$2(3x - 1) = 5(2x + 4) - 3\$.

2

Step

The given equation

\$2(3x - 1) = 5(2x + 4) - 3\$

3

Step

Move the x terms to one side and the constant terms to the other side, then simplify the equation :

6x - 10x = 20 - 3 + 2

⇒ - 4x = 19

4

Step

To find x, divide each side by - 4:

\$ x = - (19)/4 \$

5

Solution

So, the x is \$-(19)/4\$.

6

Sumup

Please summarize steps

Choices

7

Choice-A

This option suggests the solution is \$(18)/4\$, which simplifies to 4.5. However, the solution we found was \$- (19)/4\$, so this option is incorrect

Wrong \$(18)/4\$

8

Choice-B

This option suggests the solution is \$-(18)/4\$, which simplifies to - 4.5. The solution we found was \$-(19)/4\$, so this option is incorrect

Wrong \$-(18)/4\$

9

Choice-C

This option suggests the solution is \$(19)/4\$, which is 4.75. However, the solution we found was \$-(19)/4\$, so this option is incorrect

Wrong \$(19)/4\$

10

Choice-D

This option suggests the solution is \$-(19)/4\$, which is approximately - 4.75. This matches the solution we found: \$-(19)/4\$

Correct \$-(19)/4\$

11

Answer

Option

D

12

Sumup

Please summarize choices