3-2(x+2)=3(x-4)+1

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Solution for 3-2(x+2)=3(x-4)+1 equation: 


Simplifying
3 + -2(x + 2) = 3(x + -4) + 1

Reorder the terms:
3 + -2(2 + x) = 3(x + -4) + 1
3 + (2 * -2 + x * -2) = 3(x + -4) + 1
3 + (-4 + -2x) = 3(x + -4) + 1

Combine like terms: 3 + -4 = -1
-1 + -2x = 3(x + -4) + 1

Reorder the terms:
-1 + -2x = 3(-4 + x) + 1
-1 + -2x = (-4 * 3 + x * 3) + 1
-1 + -2x = (-12 + 3x) + 1

Reorder the terms:
-1 + -2x = -12 + 1 + 3x

Combine like terms: -12 + 1 = -11
-1 + -2x = -11 + 3x

Solving
-1 + -2x = -11 + 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.
-1 + -2x + -3x = -11 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-1 + -5x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -5x = -11 + 0
-1 + -5x = -11

Add '1' to each side of the equation.
-1 + 1 + -5x = -11 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = -11 + 1
-5x = -11 + 1

Combine like terms: -11 + 1 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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