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

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


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

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

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

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

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

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

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

Combine like terms: -1x + x = 0
-2 + 4x = 1 + 0
-2 + 4x = 1

Add '2' to each side of the equation.
-2 + 2 + 4x = 1 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 1 + 2
4x = 1 + 2

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

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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