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

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


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

Reorder the terms:
2 + 3(6 + x) = 2x + -3(x + -1)
2 + (6 * 3 + x * 3) = 2x + -3(x + -1)
2 + (18 + 3x) = 2x + -3(x + -1)

Combine like terms: 2 + 18 = 20
20 + 3x = 2x + -3(x + -1)

Reorder the terms:
20 + 3x = 2x + -3(-1 + x)
20 + 3x = 2x + (-1 * -3 + x * -3)
20 + 3x = 2x + (3 + -3x)

Reorder the terms:
20 + 3x = 3 + 2x + -3x

Combine like terms: 2x + -3x = -1x
20 + 3x = 3 + -1x

Solving
20 + 3x = 3 + -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.
20 + 3x + x = 3 + -1x + x

Combine like terms: 3x + x = 4x
20 + 4x = 3 + -1x + x

Combine like terms: -1x + x = 0
20 + 4x = 3 + 0
20 + 4x = 3

Add '-20' to each side of the equation.
20 + -20 + 4x = 3 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 3 + -20
4x = 3 + -20

Combine like terms: 3 + -20 = -17
4x = -17

Divide each side by '4'.
x = -4.25

Simplifying
x = -4.25

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