2(x-4)-9=-3(x-5)

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Solution for 2(x-4)-9=-3(x-5) equation:


Simplifying
2(x + -4) + -9 = -3(x + -5)

Reorder the terms:
2(-4 + x) + -9 = -3(x + -5)
(-4 * 2 + x * 2) + -9 = -3(x + -5)
(-8 + 2x) + -9 = -3(x + -5)

Reorder the terms:
-8 + -9 + 2x = -3(x + -5)

Combine like terms: -8 + -9 = -17
-17 + 2x = -3(x + -5)

Reorder the terms:
-17 + 2x = -3(-5 + x)
-17 + 2x = (-5 * -3 + x * -3)
-17 + 2x = (15 + -3x)

Solving
-17 + 2x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-17 + 2x + 3x = 15 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-17 + 5x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-17 + 5x = 15 + 0
-17 + 5x = 15

Add '17' to each side of the equation.
-17 + 17 + 5x = 15 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 15 + 17
5x = 15 + 17

Combine like terms: 15 + 17 = 32
5x = 32

Divide each side by '5'.
x = 6.4

Simplifying
x = 6.4

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