Question

Given: 3x = 5 (x − 4) Prove: x = 10

Answer 1

Answer:

see the procedure

Step-by-step explanation:

we have

$3x=5(x-4)$

step 1

$3x=5(x-4)$ ------> given problem

step 2

Applying the Distributive Property right side

$3x=5(x)-5(4)$

$3x=5x-20$

step 3

Applying the Subtraction Property of Equality

Subtract (3x-20) both sides

$3x-(3x-20)=5x-20-(3x-20)$

$20=2x$

step 4

Applying Division Property of Equality

Divide by 2 both sides

$20\2=x$

Rewrite

$x=10$