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

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


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

Reorder the terms:
3(2 + x) + 2(x + -4) = 4x + 1
(2 * 3 + x * 3) + 2(x + -4) = 4x + 1
(6 + 3x) + 2(x + -4) = 4x + 1

Reorder the terms:
6 + 3x + 2(-4 + x) = 4x + 1
6 + 3x + (-4 * 2 + x * 2) = 4x + 1
6 + 3x + (-8 + 2x) = 4x + 1

Reorder the terms:
6 + -8 + 3x + 2x = 4x + 1

Combine like terms: 6 + -8 = -2
-2 + 3x + 2x = 4x + 1

Combine like terms: 3x + 2x = 5x
-2 + 5x = 4x + 1

Reorder the terms:
-2 + 5x = 1 + 4x

Solving
-2 + 5x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 5x + -4x = 1 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-2 + 1x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 1x = 1 + 0
-2 + 1x = 1

Add '2' to each side of the equation.
-2 + 2 + 1x = 1 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 1 + 2
1x = 1 + 2

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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