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

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Solution for 8(x-4)-9(3x+1)=-20(x+2)-10 equation:


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

Reorder the terms:
8(-4 + x) + -9(3x + 1) = -20(x + 2) + -10
(-4 * 8 + x * 8) + -9(3x + 1) = -20(x + 2) + -10
(-32 + 8x) + -9(3x + 1) = -20(x + 2) + -10

Reorder the terms:
-32 + 8x + -9(1 + 3x) = -20(x + 2) + -10
-32 + 8x + (1 * -9 + 3x * -9) = -20(x + 2) + -10
-32 + 8x + (-9 + -27x) = -20(x + 2) + -10

Reorder the terms:
-32 + -9 + 8x + -27x = -20(x + 2) + -10

Combine like terms: -32 + -9 = -41
-41 + 8x + -27x = -20(x + 2) + -10

Combine like terms: 8x + -27x = -19x
-41 + -19x = -20(x + 2) + -10

Reorder the terms:
-41 + -19x = -20(2 + x) + -10
-41 + -19x = (2 * -20 + x * -20) + -10
-41 + -19x = (-40 + -20x) + -10

Reorder the terms:
-41 + -19x = -40 + -10 + -20x

Combine like terms: -40 + -10 = -50
-41 + -19x = -50 + -20x

Solving
-41 + -19x = -50 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-41 + -19x + 20x = -50 + -20x + 20x

Combine like terms: -19x + 20x = 1x
-41 + 1x = -50 + -20x + 20x

Combine like terms: -20x + 20x = 0
-41 + 1x = -50 + 0
-41 + 1x = -50

Add '41' to each side of the equation.
-41 + 41 + 1x = -50 + 41

Combine like terms: -41 + 41 = 0
0 + 1x = -50 + 41
1x = -50 + 41

Combine like terms: -50 + 41 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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