23(x-6)=54(x-8)

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Solution for 23(x-6)=54(x-8) equation:


Simplifying
23(x + -6) = 54(x + -8)

Reorder the terms:
23(-6 + x) = 54(x + -8)
(-6 * 23 + x * 23) = 54(x + -8)
(-138 + 23x) = 54(x + -8)

Reorder the terms:
-138 + 23x = 54(-8 + x)
-138 + 23x = (-8 * 54 + x * 54)
-138 + 23x = (-432 + 54x)

Solving
-138 + 23x = -432 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
-138 + 23x + -54x = -432 + 54x + -54x

Combine like terms: 23x + -54x = -31x
-138 + -31x = -432 + 54x + -54x

Combine like terms: 54x + -54x = 0
-138 + -31x = -432 + 0
-138 + -31x = -432

Add '138' to each side of the equation.
-138 + 138 + -31x = -432 + 138

Combine like terms: -138 + 138 = 0
0 + -31x = -432 + 138
-31x = -432 + 138

Combine like terms: -432 + 138 = -294
-31x = -294

Divide each side by '-31'.
x = 9.483870968

Simplifying
x = 9.483870968

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