9(6-x)+1=(x-4)+27

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Solution for 9(6-x)+1=(x-4)+27 equation:


Simplifying
9(6 + -1x) + 1 = (x + -4) + 27
(6 * 9 + -1x * 9) + 1 = (x + -4) + 27
(54 + -9x) + 1 = (x + -4) + 27

Reorder the terms:
54 + 1 + -9x = (x + -4) + 27

Combine like terms: 54 + 1 = 55
55 + -9x = (x + -4) + 27

Reorder the terms:
55 + -9x = (-4 + x) + 27

Remove parenthesis around (-4 + x)
55 + -9x = -4 + x + 27

Reorder the terms:
55 + -9x = -4 + 27 + x

Combine like terms: -4 + 27 = 23
55 + -9x = 23 + x

Solving
55 + -9x = 23 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
55 + -9x + -1x = 23 + x + -1x

Combine like terms: -9x + -1x = -10x
55 + -10x = 23 + x + -1x

Combine like terms: x + -1x = 0
55 + -10x = 23 + 0
55 + -10x = 23

Add '-55' to each side of the equation.
55 + -55 + -10x = 23 + -55

Combine like terms: 55 + -55 = 0
0 + -10x = 23 + -55
-10x = 23 + -55

Combine like terms: 23 + -55 = -32
-10x = -32

Divide each side by '-10'.
x = 3.2

Simplifying
x = 3.2

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