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

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


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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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