-2x-18=6(1-2x)+41

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Solution for -2x-18=6(1-2x)+41 equation:


Simplifying
-2x + -18 = 6(1 + -2x) + 41

Reorder the terms:
-18 + -2x = 6(1 + -2x) + 41
-18 + -2x = (1 * 6 + -2x * 6) + 41
-18 + -2x = (6 + -12x) + 41

Reorder the terms:
-18 + -2x = 6 + 41 + -12x

Combine like terms: 6 + 41 = 47
-18 + -2x = 47 + -12x

Solving
-18 + -2x = 47 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-18 + -2x + 12x = 47 + -12x + 12x

Combine like terms: -2x + 12x = 10x
-18 + 10x = 47 + -12x + 12x

Combine like terms: -12x + 12x = 0
-18 + 10x = 47 + 0
-18 + 10x = 47

Add '18' to each side of the equation.
-18 + 18 + 10x = 47 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = 47 + 18
10x = 47 + 18

Combine like terms: 47 + 18 = 65
10x = 65

Divide each side by '10'.
x = 6.5

Simplifying
x = 6.5

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