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

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


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

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

Reorder the terms:
-6 + -2 + x + 4x = 3x

Combine like terms: -6 + -2 = -8
-8 + x + 4x = 3x

Combine like terms: x + 4x = 5x
-8 + 5x = 3x

Solving
-8 + 5x = 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.
-8 + 5x + -3x = 3x + -3x

Combine like terms: 5x + -3x = 2x
-8 + 2x = 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 2x = 0

Add '8' to each side of the equation.
-8 + 8 + 2x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 0 + 8
2x = 0 + 8

Combine like terms: 0 + 8 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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