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

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


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

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

Combine like terms: 3 + -1 = 2
2 + -2x = x + 2(6 + -4x)
2 + -2x = x + (6 * 2 + -4x * 2)
2 + -2x = x + (12 + -8x)

Reorder the terms:
2 + -2x = 12 + x + -8x

Combine like terms: x + -8x = -7x
2 + -2x = 12 + -7x

Solving
2 + -2x = 12 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
2 + -2x + 7x = 12 + -7x + 7x

Combine like terms: -2x + 7x = 5x
2 + 5x = 12 + -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 5x = 12 + 0
2 + 5x = 12

Add '-2' to each side of the equation.
2 + -2 + 5x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 12 + -2
5x = 12 + -2

Combine like terms: 12 + -2 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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