3(2x-5)=(x+6)-5

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Solution for 3(2x-5)=(x+6)-5 equation: 


Simplifying
3(2x + -5) = (x + 6) + -5

Reorder the terms:
3(-5 + 2x) = (x + 6) + -5
(-5 * 3 + 2x * 3) = (x + 6) + -5
(-15 + 6x) = (x + 6) + -5

Reorder the terms:
-15 + 6x = (6 + x) + -5

Remove parenthesis around (6 + x)
-15 + 6x = 6 + x + -5

Reorder the terms:
-15 + 6x = 6 + -5 + x

Combine like terms: 6 + -5 = 1
-15 + 6x = 1 + x

Solving
-15 + 6x = 1 + 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.
-15 + 6x + -1x = 1 + x + -1x

Combine like terms: 6x + -1x = 5x
-15 + 5x = 1 + x + -1x

Combine like terms: x + -1x = 0
-15 + 5x = 1 + 0
-15 + 5x = 1

Add '15' to each side of the equation.
-15 + 15 + 5x = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 1 + 15
5x = 1 + 15

Combine like terms: 1 + 15 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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