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

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


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

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

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

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

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

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

Combine like terms: 8 + 4 = 12
-2 + 3x = 12 + -4x

Solving
-2 + 3x = 12 + -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 + 3x + 4x = 12 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-2 + 7x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 7x = 12 + 0
-2 + 7x = 12

Add '2' to each side of the equation.
-2 + 2 + 7x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 12 + 2
7x = 12 + 2

Combine like terms: 12 + 2 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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