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

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Solution for 3-(2x+1)=x+(6-4x) equation:


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

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

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

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

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

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

Solving
2 + -2x = 6 + -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 + -2x + 3x = 6 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
2 + 1x = 6 + 0
2 + 1x = 6

Add '-2' to each side of the equation.
2 + -2 + 1x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 6 + -2
1x = 6 + -2

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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