Question

-6/5(4x-3)=-6/3(4x-4)

Answer 1

To solve this equation, we need to simplify the expression on both sides and rearrange the equation if necessary.

Starting with the left side:
-6/5(4x-3)

This can be simplified by multiplying -6/5 by each term inside the parenthesis.
-6/5 * 4x = -24x/5
-6/5 * -3 = 18/5

So the left side simplifies to -24x/5 + 18/5, which can be combined into a single fraction:
-24x/5 + 18/5 = (-24x + 18)/5


Moving on to the right side:
-6/3(4x-4)

This can be simplified by multiplying -6/3 by each term inside the parenthesis.
-6/3 * 4x = -24x/3 = -8x
-6/3 * -4 = 24/3 = 8

So the right side simplifies to -8x + 8.


Now, we have the equation:
(-24x + 18)/5 = -8x + 8

To remove the fraction, we can multiply both sides by 5:
5 * (-24x + 18)/5 = 5 * (-8x + 8)

This simplifies to:
-24x + 18 = -40x + 40

Next, we can combine like terms by moving the variables to one side and the constants to the other side:
-24x + 40x = 40 - 18

This simplifies to:
16x = 22

Finally, we can solve for x by dividing both sides by 16:
x = 22/16

The final answer is x = 11/8 or in decimal form, approximately 1.375.