2[x-(2-3x)]=13x+4

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Solution for 2[x-(2-3x)]=13x+4 equation: 


Simplifying
2[x + -1(2 + -3x)] = 13x + 4
2[x + (2 * -1 + -3x * -1)] = 13x + 4
2[x + (-2 + 3x)] = 13x + 4

Reorder the terms:
2[-2 + x + 3x] = 13x + 4

Combine like terms: x + 3x = 4x
2[-2 + 4x] = 13x + 4
[-2 * 2 + 4x * 2] = 13x + 4
[-4 + 8x] = 13x + 4

Reorder the terms:
-4 + 8x = 4 + 13x

Solving
-4 + 8x = 4 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-4 + 8x + -13x = 4 + 13x + -13x

Combine like terms: 8x + -13x = -5x
-4 + -5x = 4 + 13x + -13x

Combine like terms: 13x + -13x = 0
-4 + -5x = 4 + 0
-4 + -5x = 4

Add '4' to each side of the equation.
-4 + 4 + -5x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 4 + 4
-5x = 4 + 4

Combine like terms: 4 + 4 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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