Solve for x in the following equation: 4x – 6 = 8 – 3x?

Question

Please help.

Answer 1

The equation is 4x - 6 = 8 - 3x

Add 3x to each side

3x + 4x - 6 = 8

Simplify

7x - 6 = 8

Add 6 to each side

7x - 6 + 6 = 8 + 6

Therefore 7x = 14

Divide each side by 7

7x / 7 = 14 / 7

 There fore x = 2.

The soution of the equation is x = 2.

Answer 2

4x – 6 = 8 – 3x
addition property of equality: if a = b then a + c = b + c
add 3x to each side
4x – 6 + 3x = 8 – 3x + 3x
additive inverse property: a + -a = 0
7x - 6 = 8
add 6 to each side

7x - 6 + 6 = 8 +6
7x = 14
division property of equality: if a = b then a / c = b / c ( c ≠ 0)
divide each side by 7
7x / 7 = 14 /7
x = 2