8(x-2)-5(x+4)=20x+x

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Solution for 8(x-2)-5(x+4)=20x+x equation:


Simplifying
8(x + -2) + -5(x + 4) = 20x + x

Reorder the terms:
8(-2 + x) + -5(x + 4) = 20x + x
(-2 * 8 + x * 8) + -5(x + 4) = 20x + x
(-16 + 8x) + -5(x + 4) = 20x + x

Reorder the terms:
-16 + 8x + -5(4 + x) = 20x + x
-16 + 8x + (4 * -5 + x * -5) = 20x + x
-16 + 8x + (-20 + -5x) = 20x + x

Reorder the terms:
-16 + -20 + 8x + -5x = 20x + x

Combine like terms: -16 + -20 = -36
-36 + 8x + -5x = 20x + x

Combine like terms: 8x + -5x = 3x
-36 + 3x = 20x + x

Combine like terms: 20x + x = 21x
-36 + 3x = 21x

Solving
-36 + 3x = 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-36 + 3x + -21x = 21x + -21x

Combine like terms: 3x + -21x = -18x
-36 + -18x = 21x + -21x

Combine like terms: 21x + -21x = 0
-36 + -18x = 0

Add '36' to each side of the equation.
-36 + 36 + -18x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -18x = 0 + 36
-18x = 0 + 36

Combine like terms: 0 + 36 = 36
-18x = 36

Divide each side by '-18'.
x = -2

Simplifying
x = -2

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