3(6-2x)+1=2(1x+2)-5x

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Solution for 3(6-2x)+1=2(1x+2)-5x equation: 


Simplifying
3(6 + -2x) + 1 = 2(1x + 2) + -5x
(6 * 3 + -2x * 3) + 1 = 2(1x + 2) + -5x
(18 + -6x) + 1 = 2(1x + 2) + -5x

Reorder the terms:
18 + 1 + -6x = 2(1x + 2) + -5x

Combine like terms: 18 + 1 = 19
19 + -6x = 2(1x + 2) + -5x

Reorder the terms:
19 + -6x = 2(2 + 1x) + -5x
19 + -6x = (2 * 2 + 1x * 2) + -5x
19 + -6x = (4 + 2x) + -5x

Combine like terms: 2x + -5x = -3x
19 + -6x = 4 + -3x

Solving
19 + -6x = 4 + -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.
19 + -6x + 3x = 4 + -3x + 3x

Combine like terms: -6x + 3x = -3x
19 + -3x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
19 + -3x = 4 + 0
19 + -3x = 4

Add '-19' to each side of the equation.
19 + -19 + -3x = 4 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = 4 + -19
-3x = 4 + -19

Combine like terms: 4 + -19 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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