What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x?

x = 3

Step-by-step explanation:

First we would simplify the left hand side of the equation by expanding the brackets

so 2 (4-3x) = 8-6x and

5 (2x-3) = 10x-15

This gives the left hand side as 8-6x+10x-15. So the overall equation becomes

8-6x+10x-15 = 20-5x.

Grouping the unknown values on one side and integers on one side of the equation gives us

8-15-20=6x-10x-5x (note the sign changes when numbers and unknown values are moved to the other side of the = sign

Solving further, - 27 = - 9x i. e x = - 27/-9 = 3

Hence x = 3