3(2x-8)-(3x+2)=-15

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Solution for 3(2x-8)-(3x+2)=-15 equation:


Simplifying
3(2x + -8) + -1(3x + 2) = -15

Reorder the terms:
3(-8 + 2x) + -1(3x + 2) = -15
(-8 * 3 + 2x * 3) + -1(3x + 2) = -15
(-24 + 6x) + -1(3x + 2) = -15

Reorder the terms:
-24 + 6x + -1(2 + 3x) = -15
-24 + 6x + (2 * -1 + 3x * -1) = -15
-24 + 6x + (-2 + -3x) = -15

Reorder the terms:
-24 + -2 + 6x + -3x = -15

Combine like terms: -24 + -2 = -26
-26 + 6x + -3x = -15

Combine like terms: 6x + -3x = 3x
-26 + 3x = -15

Solving
-26 + 3x = -15

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 3x = -15 + 26

Combine like terms: -26 + 26 = 0
0 + 3x = -15 + 26
3x = -15 + 26

Combine like terms: -15 + 26 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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