3(2x-3)-2(2-x)-(x+3)=0

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Solution for 3(2x-3)-2(2-x)-(x+3)=0 equation:


Simplifying
3(2x + -3) + -2(2 + -1x) + -1(x + 3) = 0

Reorder the terms:
3(-3 + 2x) + -2(2 + -1x) + -1(x + 3) = 0
(-3 * 3 + 2x * 3) + -2(2 + -1x) + -1(x + 3) = 0
(-9 + 6x) + -2(2 + -1x) + -1(x + 3) = 0
-9 + 6x + (2 * -2 + -1x * -2) + -1(x + 3) = 0
-9 + 6x + (-4 + 2x) + -1(x + 3) = 0

Reorder the terms:
-9 + 6x + -4 + 2x + -1(3 + x) = 0
-9 + 6x + -4 + 2x + (3 * -1 + x * -1) = 0
-9 + 6x + -4 + 2x + (-3 + -1x) = 0

Reorder the terms:
-9 + -4 + -3 + 6x + 2x + -1x = 0

Combine like terms: -9 + -4 = -13
-13 + -3 + 6x + 2x + -1x = 0

Combine like terms: -13 + -3 = -16
-16 + 6x + 2x + -1x = 0

Combine like terms: 6x + 2x = 8x
-16 + 8x + -1x = 0

Combine like terms: 8x + -1x = 7x
-16 + 7x = 0

Solving
-16 + 7x = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 7x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 7x = 0 + 16
7x = 0 + 16

Combine like terms: 0 + 16 = 16
7x = 16

Divide each side by '7'.
x = 2.285714286

Simplifying
x = 2.285714286

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