-8(X-2)-5(3-X)+16=15-4(3-X)

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Solution for -8(X-2)-5(3-X)+16=15-4(3-X) equation:


Simplifying
-8(X + -2) + -5(3 + -1X) + 16 = 15 + -4(3 + -1X)

Reorder the terms:
-8(-2 + X) + -5(3 + -1X) + 16 = 15 + -4(3 + -1X)
(-2 * -8 + X * -8) + -5(3 + -1X) + 16 = 15 + -4(3 + -1X)
(16 + -8X) + -5(3 + -1X) + 16 = 15 + -4(3 + -1X)
16 + -8X + (3 * -5 + -1X * -5) + 16 = 15 + -4(3 + -1X)
16 + -8X + (-15 + 5X) + 16 = 15 + -4(3 + -1X)

Reorder the terms:
16 + -15 + 16 + -8X + 5X = 15 + -4(3 + -1X)

Combine like terms: 16 + -15 = 1
1 + 16 + -8X + 5X = 15 + -4(3 + -1X)

Combine like terms: 1 + 16 = 17
17 + -8X + 5X = 15 + -4(3 + -1X)

Combine like terms: -8X + 5X = -3X
17 + -3X = 15 + -4(3 + -1X)
17 + -3X = 15 + (3 * -4 + -1X * -4)
17 + -3X = 15 + (-12 + 4X)

Combine like terms: 15 + -12 = 3
17 + -3X = 3 + 4X

Solving
17 + -3X = 3 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
17 + -3X + -4X = 3 + 4X + -4X

Combine like terms: -3X + -4X = -7X
17 + -7X = 3 + 4X + -4X

Combine like terms: 4X + -4X = 0
17 + -7X = 3 + 0
17 + -7X = 3

Add '-17' to each side of the equation.
17 + -17 + -7X = 3 + -17

Combine like terms: 17 + -17 = 0
0 + -7X = 3 + -17
-7X = 3 + -17

Combine like terms: 3 + -17 = -14
-7X = -14

Divide each side by '-7'.
X = 2

Simplifying
X = 2

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