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

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


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

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

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

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

Combine like terms: -32 + -27 = -59
-59 + 8x + -27x = -20(x + 2) + 2

Combine like terms: 8x + -27x = -19x
-59 + -19x = -20(x + 2) + 2

Reorder the terms:
-59 + -19x = -20(2 + x) + 2
-59 + -19x = (2 * -20 + x * -20) + 2
-59 + -19x = (-40 + -20x) + 2

Reorder the terms:
-59 + -19x = -40 + 2 + -20x

Combine like terms: -40 + 2 = -38
-59 + -19x = -38 + -20x

Solving
-59 + -19x = -38 + -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.
-59 + -19x + 20x = -38 + -20x + 20x

Combine like terms: -19x + 20x = 1x
-59 + 1x = -38 + -20x + 20x

Combine like terms: -20x + 20x = 0
-59 + 1x = -38 + 0
-59 + 1x = -38

Add '59' to each side of the equation.
-59 + 59 + 1x = -38 + 59

Combine like terms: -59 + 59 = 0
0 + 1x = -38 + 59
1x = -38 + 59

Combine like terms: -38 + 59 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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