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

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Solution for 6-(x+4)=3x-2 equation: 


Simplifying
6 + -1(x + 4) = 3x + -2

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

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

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

Solving
2 + -1x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -1x + -3x = -2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -4x = -2 + 0
2 + -4x = -2

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

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

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

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

Simplifying
x = 1

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