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

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


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

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

Reorder the terms for easier multiplication:
x + -1 * 3(1 + 3x) = 2(2x + -1)

Multiply -1 * 3
x + -3(1 + 3x) = 2(2x + -1)
x + (1 * -3 + 3x * -3) = 2(2x + -1)
x + (-3 + -9x) = 2(2x + -1)

Reorder the terms:
-3 + x + -9x = 2(2x + -1)

Combine like terms: x + -9x = -8x
-3 + -8x = 2(2x + -1)

Reorder the terms:
-3 + -8x = 2(-1 + 2x)
-3 + -8x = (-1 * 2 + 2x * 2)
-3 + -8x = (-2 + 4x)

Solving
-3 + -8x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + -8x + -4x = -2 + 4x + -4x

Combine like terms: -8x + -4x = -12x
-3 + -12x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -12x = -2 + 0
-3 + -12x = -2

Add '3' to each side of the equation.
-3 + 3 + -12x = -2 + 3

Combine like terms: -3 + 3 = 0
0 + -12x = -2 + 3
-12x = -2 + 3

Combine like terms: -2 + 3 = 1
-12x = 1

Divide each side by '-12'.
x = -0.08333333333

Simplifying
x = -0.08333333333

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