3X-(2X+10)-5=9X+2(x+7.5)

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Solution for 3X-(2X+10)-5=9X+2(x+7.5) equation:


Simplifying
3X + -1(2X + 10) + -5 = 9X + 2(x + 7.5)

Reorder the terms:
3X + -1(10 + 2X) + -5 = 9X + 2(x + 7.5)
3X + (10 * -1 + 2X * -1) + -5 = 9X + 2(x + 7.5)
3X + (-10 + -2X) + -5 = 9X + 2(x + 7.5)

Reorder the terms:
-10 + -5 + 3X + -2X = 9X + 2(x + 7.5)

Combine like terms: -10 + -5 = -15
-15 + 3X + -2X = 9X + 2(x + 7.5)

Combine like terms: 3X + -2X = 1X
-15 + 1X = 9X + 2(x + 7.5)

Reorder the terms:
-15 + 1X = 9X + 2(7.5 + x)
-15 + 1X = 9X + (7.5 * 2 + x * 2)
-15 + 1X = 9X + (15 + 2x)

Reorder the terms:
-15 + 1X = 15 + 9X + 2x

Solving
-15 + 1X = 15 + 9X + 2x

Solving for variable 'X'.

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

Add '-9X' to each side of the equation.
-15 + 1X + -9X = 15 + 9X + -9X + 2x

Combine like terms: 1X + -9X = -8X
-15 + -8X = 15 + 9X + -9X + 2x

Combine like terms: 9X + -9X = 0
-15 + -8X = 15 + 0 + 2x
-15 + -8X = 15 + 2x

Add '15' to each side of the equation.
-15 + 15 + -8X = 15 + 15 + 2x

Combine like terms: -15 + 15 = 0
0 + -8X = 15 + 15 + 2x
-8X = 15 + 15 + 2x

Combine like terms: 15 + 15 = 30
-8X = 30 + 2x

Divide each side by '-8'.
X = -3.75 + -0.25x

Simplifying
X = -3.75 + -0.25x

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