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

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


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

Reorder the terms:
2(6 + x) = 3(2x + -3) + 1
(6 * 2 + x * 2) = 3(2x + -3) + 1
(12 + 2x) = 3(2x + -3) + 1

Reorder the terms:
12 + 2x = 3(-3 + 2x) + 1
12 + 2x = (-3 * 3 + 2x * 3) + 1
12 + 2x = (-9 + 6x) + 1

Reorder the terms:
12 + 2x = -9 + 1 + 6x

Combine like terms: -9 + 1 = -8
12 + 2x = -8 + 6x

Solving
12 + 2x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 2x + -6x = -8 + 6x + -6x

Combine like terms: 2x + -6x = -4x
12 + -4x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -4x = -8 + 0
12 + -4x = -8

Add '-12' to each side of the equation.
12 + -12 + -4x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -8 + -12
-4x = -8 + -12

Combine like terms: -8 + -12 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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