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

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


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

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

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

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

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

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

Combine like terms: 2 + 6 = 8
8 + 12 + -2x + -3x + -4x = 0

Combine like terms: 8 + 12 = 20
20 + -2x + -3x + -4x = 0

Combine like terms: -2x + -3x = -5x
20 + -5x + -4x = 0

Combine like terms: -5x + -4x = -9x
20 + -9x = 0

Solving
20 + -9x = 0

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -9x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -9x = 0 + -20
-9x = 0 + -20

Combine like terms: 0 + -20 = -20
-9x = -20

Divide each side by '-9'.
x = 2.222222222

Simplifying
x = 2.222222222

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