6x-5=59(x-3)+x

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Solution for 6x-5=59(x-3)+x equation:


Simplifying
6x + -5 = 59(x + -3) + x

Reorder the terms:
-5 + 6x = 59(x + -3) + x

Reorder the terms:
-5 + 6x = 59(-3 + x) + x
-5 + 6x = (-3 * 59 + x * 59) + x
-5 + 6x = (-177 + 59x) + x

Combine like terms: 59x + x = 60x
-5 + 6x = -177 + 60x

Solving
-5 + 6x = -177 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
-5 + 6x + -60x = -177 + 60x + -60x

Combine like terms: 6x + -60x = -54x
-5 + -54x = -177 + 60x + -60x

Combine like terms: 60x + -60x = 0
-5 + -54x = -177 + 0
-5 + -54x = -177

Add '5' to each side of the equation.
-5 + 5 + -54x = -177 + 5

Combine like terms: -5 + 5 = 0
0 + -54x = -177 + 5
-54x = -177 + 5

Combine like terms: -177 + 5 = -172
-54x = -172

Divide each side by '-54'.
x = 3.185185185

Simplifying
x = 3.185185185

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