Question

Solve each equation for the indicated variable

g = c + x solve for x

Answer 1

Hello there!

Question:-

`g = c + x`

We need to find the value of x.

Solution:-

`\sf \longmapsto \: g = c + x`

Note that g , c and x equals to 1g,1c and 1x.

`\sf \longmapsto \: 1g =1 c +1 x`

Flip the equation:-

`\sf \longmapsto \: 1c + 1x = g`

Add -c to both sides:-

`\sf \longmapsto \: 1c+1x+( - c)=1g+ (- c)`

On Simplification:-

`\sf \longmapsto \: 1c - 1c + 1x = 1g - c`

`\sf \longmapsto \: 0 + x = 1g - c`

`\sf \longmapsto \: x = 1g - c`

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Henceforth the value of x is :-

`\boxed{\huge\tt x = g - c}`

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Please let me know if you have any questions.

~MisterBrian

Answer 2

x = g - c

Explanation:

g = c + x |subtract c from both sides

g - c = c - c + x

g - c = x → x = g - c