Log(8)1-5X=log(8)3x+7

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Solution for Log(8)1-5X=log(8)3x+7 equation:


Simplifying
Log(8) * 1 + -5X = log(8) * 3x + 7

Reorder the terms for easier multiplication:
8 * 1goL + -5X = log(8) * 3x + 7

Multiply 8 * 1
8goL + -5X = log(8) * 3x + 7

Reorder the terms:
-5X + 8goL = log(8) * 3x + 7

Reorder the terms for easier multiplication:
-5X + 8goL = 8 * 3glo * x + 7

Multiply 8 * 3
-5X + 8goL = 24glo * x + 7

Multiply glo * x
-5X + 8goL = 24glox + 7

Reorder the terms:
-5X + 8goL = 7 + 24glox

Solving
-5X + 8goL = 7 + 24glox

Solving for variable 'X'.

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

Add '-8goL' to each side of the equation.
-5X + 8goL + -8goL = 7 + 24glox + -8goL

Combine like terms: 8goL + -8goL = 0
-5X + 0 = 7 + 24glox + -8goL
-5X = 7 + 24glox + -8goL

Divide each side by '-5'.
X = -1.4 + -4.8glox + 1.6goL

Simplifying
X = -1.4 + -4.8glox + 1.6goL

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