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

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


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

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

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

Reorder the terms:
-2 + 2x = 4(-3 + 2x)
-2 + 2x = (-3 * 4 + 2x * 4)
-2 + 2x = (-12 + 8x)

Solving
-2 + 2x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 2x + -8x = -12 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-2 + -6x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -6x = -12 + 0
-2 + -6x = -12

Add '2' to each side of the equation.
-2 + 2 + -6x = -12 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = -12 + 2
-6x = -12 + 2

Combine like terms: -12 + 2 = -10
-6x = -10

Divide each side by '-6'.
x = 1.666666667

Simplifying
x = 1.666666667

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