Geometry proofs

Question

Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.

(2x+6)/5= 4x-3

Proofs

Answer 1

(2x+6)/5 = 4x-3 we must move the variables Xs to the left side and all constants to the right side

(2x+6) = 5(4x-3) here we move 5 from being a denominator to multiply on the other side.

then:

2x +6 = 20X -15 now we move Xs to the left and constants to the right side

2X - 20X = -15 -6 now we simplify

-18X = -21

X = (-21/-18) now we simplify the right side by dividing the numerator and denominator by 3

X = 7/6 this proves the answer. Good luck.