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

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


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

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

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

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

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

Solving
2 + 3x = -5 + 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 = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
2 + -1x = -5 + 0
2 + -1x = -5

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

Combine like terms: 2 + -2 = 0
0 + -1x = -5 + -2
-1x = -5 + -2

Combine like terms: -5 + -2 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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