-6(6-x)+5=3(x-1)

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Solution for -6(6-x)+5=3(x-1) equation:


Simplifying
-6(6 + -1x) + 5 = 3(x + -1)
(6 * -6 + -1x * -6) + 5 = 3(x + -1)
(-36 + 6x) + 5 = 3(x + -1)

Reorder the terms:
-36 + 5 + 6x = 3(x + -1)

Combine like terms: -36 + 5 = -31
-31 + 6x = 3(x + -1)

Reorder the terms:
-31 + 6x = 3(-1 + x)
-31 + 6x = (-1 * 3 + x * 3)
-31 + 6x = (-3 + 3x)

Solving
-31 + 6x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-31 + 6x + -3x = -3 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-31 + 3x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + 3x = -3 + 0
-31 + 3x = -3

Add '31' to each side of the equation.
-31 + 31 + 3x = -3 + 31

Combine like terms: -31 + 31 = 0
0 + 3x = -3 + 31
3x = -3 + 31

Combine like terms: -3 + 31 = 28
3x = 28

Divide each side by '3'.
x = 9.333333333

Simplifying
x = 9.333333333

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