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

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


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

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

Reorder the terms:
6 + 3x + -2(4 + 3x) + 3 = x + -1(x + 1) + -3
6 + 3x + (4 * -2 + 3x * -2) + 3 = x + -1(x + 1) + -3
6 + 3x + (-8 + -6x) + 3 = x + -1(x + 1) + -3

Reorder the terms:
6 + -8 + 3 + 3x + -6x = x + -1(x + 1) + -3

Combine like terms: 6 + -8 = -2
-2 + 3 + 3x + -6x = x + -1(x + 1) + -3

Combine like terms: -2 + 3 = 1
1 + 3x + -6x = x + -1(x + 1) + -3

Combine like terms: 3x + -6x = -3x
1 + -3x = x + -1(x + 1) + -3

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

Reorder the terms:
1 + -3x = -1 + -3 + x + -1x

Combine like terms: -1 + -3 = -4
1 + -3x = -4 + x + -1x

Combine like terms: x + -1x = 0
1 + -3x = -4 + 0
1 + -3x = -4

Solving
1 + -3x = -4

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -3x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -4 + -1
-3x = -4 + -1

Combine like terms: -4 + -1 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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