x = 1.71
Step-by-step explanation:
Given
[tex]31 + 2x = 9 (4x - 3)[/tex]
The x has to be isolated in order to solve this equation.
So,
Distributive property
[tex]31 + 2x = 36x - 27[/tex]
Subtracting 31 from both sides
[tex]31 + 2x-31 = 36x - 27-31\\2x=36x-58[/tex]
Subtracting 36x from both sides
[tex]2x-36x=36x-58-36x\\-34x = -58[/tex]
Dividing both sides by -34
[tex]\frac{-34x}{-34} = \frac{-58}{-34}\\x = \frac{29}{17}\\x= 1.70588[/tex]
Rounding off to nearest hundredth
x = 1.71
Keywords:Linear equation, variables
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