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

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


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

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

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

Combine like terms: -3 + -8 = -11
-11 + 4X + 3x = 3x + 1

Reorder the terms:
-11 + 4X + 3x = 1 + 3x

Add '-3x' to each side of the equation.
-11 + 4X + 3x + -3x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 4X + 0 = 1 + 3x + -3x
-11 + 4X = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 4X = 1 + 0
-11 + 4X = 1

Solving
-11 + 4X = 1

Solving for variable 'X'.

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

Add '11' to each side of the equation.
-11 + 11 + 4X = 1 + 11

Combine like terms: -11 + 11 = 0
0 + 4X = 1 + 11
4X = 1 + 11

Combine like terms: 1 + 11 = 12
4X = 12

Divide each side by '4'.
X = 3

Simplifying
X = 3

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