3(2x-8)-(2x+2)=x-3

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


Simplifying
3(2x + -8) + -1(2x + 2) = x + -3

Reorder the terms:
3(-8 + 2x) + -1(2x + 2) = x + -3
(-8 * 3 + 2x * 3) + -1(2x + 2) = x + -3
(-24 + 6x) + -1(2x + 2) = x + -3

Reorder the terms:
-24 + 6x + -1(2 + 2x) = x + -3
-24 + 6x + (2 * -1 + 2x * -1) = x + -3
-24 + 6x + (-2 + -2x) = x + -3

Reorder the terms:
-24 + -2 + 6x + -2x = x + -3

Combine like terms: -24 + -2 = -26
-26 + 6x + -2x = x + -3

Combine like terms: 6x + -2x = 4x
-26 + 4x = x + -3

Reorder the terms:
-26 + 4x = -3 + x

Solving
-26 + 4x = -3 + 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.
-26 + 4x + -1x = -3 + x + -1x

Combine like terms: 4x + -1x = 3x
-26 + 3x = -3 + x + -1x

Combine like terms: x + -1x = 0
-26 + 3x = -3 + 0
-26 + 3x = -3

Add '26' to each side of the equation.
-26 + 26 + 3x = -3 + 26

Combine like terms: -26 + 26 = 0
0 + 3x = -3 + 26
3x = -3 + 26

Combine like terms: -3 + 26 = 23
3x = 23

Divide each side by '3'.
x = 7.666666667

Simplifying
x = 7.666666667

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