Question

how do you check 102=69-7x+3x

Answer 1

Simplifying
102 = 69 + -7x + 3x

Combine like terms: -7x + 3x = -4x
102 = 69 + -4x

Solving
102 = 69 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
102 + 4x = 69 + -4x + 4x

Combine like terms: -4x + 4x = 0
102 + 4x = 69 + 0
102 + 4x = 69

Add '-102' to each side of the equation.
102 + -102 + 4x = 69 + -102

Combine like terms: 102 + -102 = 0
0 + 4x = 69 + -102
4x = 69 + -102

Combine like terms: 69 + -102 = -33
4x = -33

Divide each side by '4'.
x = -8.25

Simplifying
x = -8.25

Answer 2

|| Answer ||

=> 102 = 69 - 7x + 3x

=> 102 = 69 - 4x [ Combine like terms ]

=> 102 - 69 = - 4x

=> 33 = - 4x

$=> \frac{33}{ - 4} = x$

$=> x = \frac{ - 33}{4}$

=> -8.25

|| Final Answer ||

x = -8.25

_______________

102 = 69 - 7(-8.25)+ 3(-8.25)

102 = 69 - 7(-8.25)+ 3(-8.25)102 = 69 - (-57.75) + (-24.75)

102 = 69 - 7(-8.25)+ 3(-8.25)102 = 69 - (-57.75) + (-24.75)102 = 69 + 57.75 - 24.75

102 = 69 - 7(-8.25)+ 3(-8.25)102 = 69 - (-57.75) + (-24.75)102 = 69 + 57.75 - 24.75102 = 69 + 33

102 = 69 - 7(-8.25)+ 3(-8.25)102 = 69 - (-57.75) + (-24.75)102 = 69 + 57.75 - 24.75102 = 69 + 33102 = 102