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

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Solution for 2(X+8)=-3(x-15)+1 equation: 


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

Reorder the terms:
2(8 + X) = -3(x + -15) + 1
(8 * 2 + X * 2) = -3(x + -15) + 1
(16 + 2X) = -3(x + -15) + 1

Reorder the terms:
16 + 2X = -3(-15 + x) + 1
16 + 2X = (-15 * -3 + x * -3) + 1
16 + 2X = (45 + -3x) + 1

Reorder the terms:
16 + 2X = 45 + 1 + -3x

Combine like terms: 45 + 1 = 46
16 + 2X = 46 + -3x

Solving
16 + 2X = 46 + -3x

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + -16 + 2X = 46 + -16 + -3x

Combine like terms: 16 + -16 = 0
0 + 2X = 46 + -16 + -3x
2X = 46 + -16 + -3x

Combine like terms: 46 + -16 = 30
2X = 30 + -3x

Divide each side by '2'.
X = 15 + -1.5x

Simplifying
X = 15 + -1.5x

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