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Solve for x: 4(x + 3) = 2(2x - 1)​

Sagot :

There is no solution for x in the equation 4( 3=2(2−1)

4(x+3)=2(2x−1).

Distributing the numbers to the terms inside the parentheses:4(+3)=2(2−1)

4+12=4

−212=−24(x+3)4x+1212

=2(2x−1)

=4x−2

=−2

However, the equation

12=−2

12=−2 is not true. Therefore, there is no valid solution for

x.

Answer:

This equation is not possible. Meaning, there is no solution for x and this is not applicable in the given that you asks.

Step-by-step explanation:

Given equation: 4(x + 3) = 2(2x - 1)

Step 1: Distribute the terms on both sides of the equation:

Distribute on the left side:

4(x + 3) = 4x + 12

Distribute on the right side:

2(2x - 1) = 4x - 2

Now, the equation becomes:

4x + 12 = 4x - 2

Step 2: Simplify the equation:

Notice that the terms 4x on both sides of the equation cancel each other out:

4x + 12 - 4x = 4x - 2 - 4x

Simplify:

12 = -2

Step 3: Analyze the result:

This equation is not possible.