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

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


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

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

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

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

Solving
-2 + 2x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 2x + -6x = 3 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-2 + -4x = 3 + 0
-2 + -4x = 3

Add '2' to each side of the equation.
-2 + 2 + -4x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 3 + 2
-4x = 3 + 2

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

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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