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

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


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

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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 2x + x = -2 + -1x + x

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

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

Add '3' to each side of the equation.
-3 + 3 + 3x = -2 + 3

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

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

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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