6(8-3x)-(2x+1)=107

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Solution for 6(8-3x)-(2x+1)=107 equation: 


Simplifying
6(8 + -3x) + -1(2x + 1) = 107
(8 * 6 + -3x * 6) + -1(2x + 1) = 107
(48 + -18x) + -1(2x + 1) = 107

Reorder the terms:
48 + -18x + -1(1 + 2x) = 107
48 + -18x + (1 * -1 + 2x * -1) = 107
48 + -18x + (-1 + -2x) = 107

Reorder the terms:
48 + -1 + -18x + -2x = 107

Combine like terms: 48 + -1 = 47
47 + -18x + -2x = 107

Combine like terms: -18x + -2x = -20x
47 + -20x = 107

Solving
47 + -20x = 107

Solving for variable 'x'.

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

Add '-47' to each side of the equation.
47 + -47 + -20x = 107 + -47

Combine like terms: 47 + -47 = 0
0 + -20x = 107 + -47
-20x = 107 + -47

Combine like terms: 107 + -47 = 60
-20x = 60

Divide each side by '-20'.
x = -3

Simplifying
x = -3

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