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

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


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

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

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

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

Combine like terms: 3x + 2x = 5x
1 + 5x = x + -1(4x + -2)

Reorder the terms:
1 + 5x = x + -1(-2 + 4x)
1 + 5x = x + (-2 * -1 + 4x * -1)
1 + 5x = x + (2 + -4x)

Reorder the terms:
1 + 5x = 2 + x + -4x

Combine like terms: x + -4x = -3x
1 + 5x = 2 + -3x

Solving
1 + 5x = 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.
1 + 5x + 3x = 2 + -3x + 3x

Combine like terms: 5x + 3x = 8x
1 + 8x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 8x = 2 + 0
1 + 8x = 2

Add '-1' to each side of the equation.
1 + -1 + 8x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 2 + -1
8x = 2 + -1

Combine like terms: 2 + -1 = 1
8x = 1

Divide each side by '8'.
x = 0.125

Simplifying
x = 0.125

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