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

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Solution for 4(x+3)-3(x+2)-2(x+1)-x=0 equation:


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

Reorder the terms:
4(3 + x) + -3(x + 2) + -2(x + 1) + -1x = 0
(3 * 4 + x * 4) + -3(x + 2) + -2(x + 1) + -1x = 0
(12 + 4x) + -3(x + 2) + -2(x + 1) + -1x = 0

Reorder the terms:
12 + 4x + -3(2 + x) + -2(x + 1) + -1x = 0
12 + 4x + (2 * -3 + x * -3) + -2(x + 1) + -1x = 0
12 + 4x + (-6 + -3x) + -2(x + 1) + -1x = 0

Reorder the terms:
12 + 4x + -6 + -3x + -2(1 + x) + -1x = 0
12 + 4x + -6 + -3x + (1 * -2 + x * -2) + -1x = 0
12 + 4x + -6 + -3x + (-2 + -2x) + -1x = 0

Reorder the terms:
12 + -6 + -2 + 4x + -3x + -2x + -1x = 0

Combine like terms: 12 + -6 = 6
6 + -2 + 4x + -3x + -2x + -1x = 0

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

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

Combine like terms: 1x + -2x = -1x
4 + -1x + -1x = 0

Combine like terms: -1x + -1x = -2x
4 + -2x = 0

Solving
4 + -2x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -2x = 0 + -4

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

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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