9x-x-3(x-2)+4(x+1)=10(x-1)-20x

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Solution for 9x-x-3(x-2)+4(x+1)=10(x-1)-20x equation:


Simplifying
9x + -1x + -3(x + -2) + 4(x + 1) = 10(x + -1) + -20x

Reorder the terms:
9x + -1x + -3(-2 + x) + 4(x + 1) = 10(x + -1) + -20x
9x + -1x + (-2 * -3 + x * -3) + 4(x + 1) = 10(x + -1) + -20x
9x + -1x + (6 + -3x) + 4(x + 1) = 10(x + -1) + -20x

Reorder the terms:
9x + -1x + 6 + -3x + 4(1 + x) = 10(x + -1) + -20x
9x + -1x + 6 + -3x + (1 * 4 + x * 4) = 10(x + -1) + -20x
9x + -1x + 6 + -3x + (4 + 4x) = 10(x + -1) + -20x

Reorder the terms:
6 + 4 + 9x + -1x + -3x + 4x = 10(x + -1) + -20x

Combine like terms: 6 + 4 = 10
10 + 9x + -1x + -3x + 4x = 10(x + -1) + -20x

Combine like terms: 9x + -1x = 8x
10 + 8x + -3x + 4x = 10(x + -1) + -20x

Combine like terms: 8x + -3x = 5x
10 + 5x + 4x = 10(x + -1) + -20x

Combine like terms: 5x + 4x = 9x
10 + 9x = 10(x + -1) + -20x

Reorder the terms:
10 + 9x = 10(-1 + x) + -20x
10 + 9x = (-1 * 10 + x * 10) + -20x
10 + 9x = (-10 + 10x) + -20x

Combine like terms: 10x + -20x = -10x
10 + 9x = -10 + -10x

Solving
10 + 9x = -10 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
10 + 9x + 10x = -10 + -10x + 10x

Combine like terms: 9x + 10x = 19x
10 + 19x = -10 + -10x + 10x

Combine like terms: -10x + 10x = 0
10 + 19x = -10 + 0
10 + 19x = -10

Add '-10' to each side of the equation.
10 + -10 + 19x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + 19x = -10 + -10
19x = -10 + -10

Combine like terms: -10 + -10 = -20
19x = -20

Divide each side by '19'.
x = -1.052631579

Simplifying
x = -1.052631579

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