10(-2x+1)=(x+1)-19

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Solution for 10(-2x+1)=(x+1)-19 equation: 


Simplifying
10(-2x + 1) = (x + 1) + -19

Reorder the terms:
10(1 + -2x) = (x + 1) + -19
(1 * 10 + -2x * 10) = (x + 1) + -19
(10 + -20x) = (x + 1) + -19

Reorder the terms:
10 + -20x = (1 + x) + -19

Remove parenthesis around (1 + x)
10 + -20x = 1 + x + -19

Reorder the terms:
10 + -20x = 1 + -19 + x

Combine like terms: 1 + -19 = -18
10 + -20x = -18 + x

Solving
10 + -20x = -18 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -20x + -1x = -18 + x + -1x

Combine like terms: -20x + -1x = -21x
10 + -21x = -18 + x + -1x

Combine like terms: x + -1x = 0
10 + -21x = -18 + 0
10 + -21x = -18

Add '-10' to each side of the equation.
10 + -10 + -21x = -18 + -10

Combine like terms: 10 + -10 = 0
0 + -21x = -18 + -10
-21x = -18 + -10

Combine like terms: -18 + -10 = -28
-21x = -28

Divide each side by '-21'.
x = 1.333333333

Simplifying
x = 1.333333333

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