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

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


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

Remove parenthesis around (6 + -1x)
4 + 6 + -1x = 3x + -2

Combine like terms: 4 + 6 = 10
10 + -1x = 3x + -2

Reorder the terms:
10 + -1x = -2 + 3x

Solving
10 + -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.
10 + -1x + -3x = -2 + 3x + -3x

Combine like terms: -1x + -3x = -4x
10 + -4x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -4x = -2 + 0
10 + -4x = -2

Add '-10' to each side of the equation.
10 + -10 + -4x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -2 + -10
-4x = -2 + -10

Combine like terms: -2 + -10 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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