Question

What’s x??

Solve for x

5x+2=7x-4

Answer 1

x = 3

Explanation:

What’s x??

Solve for x

5x+2=7x-4

2 + 4 = 7x - 5x

6 = 2x

x = 6 : 2

x = 3

--------------

check

5 * 3 + 2 = 7 * 3 - 4

17 = 17

• the answer is good

Answer 2

x = 3

Explanation:

`{ \rm{5x + 2 = 7x - 4}}`

- First, using equality order by collecting like terms of x together and constants together;

• Using subtraction property of equality on constant 2 [subtracting 2 from both sides]

`{ \rm{(5x + 2) { \green{- 2}} + = (7x- 4){ \green{ - 2}}}} \\ { \rm{5x = 7x - 6}}`

• Using subtraction property of equality on term 7x [subtracting 7x from both sides]

`{ \rm{5x - { \blue{7x}} = (7x - 6) - { \blue{7x}}}} \\ { \rm{ - 2x = - 6}}`

- Using division property of equality, by dividing -2 on both sides;

`{ \rm{ \frac{ - 2x}{ \orange{ - 2}} } = \frac{ - 6}{ \orange{ - 2}} } \\ \\ { \rm{x = 3}}`

`{ \boxed{ \red{ \delta}}}{ \underline{ \mathfrak{ \: \: creed}}}`