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

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


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

Reorder the terms:
x + -2 + 3(-1 + 3x) + -4(x + 3) = 3
x + -2 + (-1 * 3 + 3x * 3) + -4(x + 3) = 3
x + -2 + (-3 + 9x) + -4(x + 3) = 3

Reorder the terms:
x + -2 + -3 + 9x + -4(3 + x) = 3
x + -2 + -3 + 9x + (3 * -4 + x * -4) = 3
x + -2 + -3 + 9x + (-12 + -4x) = 3

Reorder the terms:
-2 + -3 + -12 + x + 9x + -4x = 3

Combine like terms: -2 + -3 = -5
-5 + -12 + x + 9x + -4x = 3

Combine like terms: -5 + -12 = -17
-17 + x + 9x + -4x = 3

Combine like terms: x + 9x = 10x
-17 + 10x + -4x = 3

Combine like terms: 10x + -4x = 6x
-17 + 6x = 3

Solving
-17 + 6x = 3

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 6x = 3 + 17

Combine like terms: -17 + 17 = 0
0 + 6x = 3 + 17
6x = 3 + 17

Combine like terms: 3 + 17 = 20
6x = 20

Divide each side by '6'.
x = 3.333333333

Simplifying
x = 3.333333333

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