[6x-4]-5=[17-x]-5

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Solution for [6x-4]-5=[17-x]-5 equation:


Simplifying
[6x + -4] + -5 = [17 + -1x] + -5

Reorder the terms:
[-4 + 6x] + -5 = [17 + -1x] + -5

Remove brackets around [-4 + 6x]
-4 + 6x + -5 = [17 + -1x] + -5

Reorder the terms:
-4 + -5 + 6x = [17 + -1x] + -5

Combine like terms: -4 + -5 = -9
-9 + 6x = [17 + -1x] + -5

Remove brackets around [17 + -1x]
-9 + 6x = 17 + -1x + -5

Reorder the terms:
-9 + 6x = 17 + -5 + -1x

Combine like terms: 17 + -5 = 12
-9 + 6x = 12 + -1x

Solving
-9 + 6x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + 6x + x = 12 + -1x + x

Combine like terms: 6x + x = 7x
-9 + 7x = 12 + -1x + x

Combine like terms: -1x + x = 0
-9 + 7x = 12 + 0
-9 + 7x = 12

Add '9' to each side of the equation.
-9 + 9 + 7x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 12 + 9
7x = 12 + 9

Combine like terms: 12 + 9 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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