-3(x-9)=-5(x+8)

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Solution for -3(x-9)=-5(x+8) equation:


Simplifying
-3(x + -9) = -5(x + 8)

Reorder the terms:
-3(-9 + x) = -5(x + 8)
(-9 * -3 + x * -3) = -5(x + 8)
(27 + -3x) = -5(x + 8)

Reorder the terms:
27 + -3x = -5(8 + x)
27 + -3x = (8 * -5 + x * -5)
27 + -3x = (-40 + -5x)

Solving
27 + -3x = -40 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
27 + -3x + 5x = -40 + -5x + 5x

Combine like terms: -3x + 5x = 2x
27 + 2x = -40 + -5x + 5x

Combine like terms: -5x + 5x = 0
27 + 2x = -40 + 0
27 + 2x = -40

Add '-27' to each side of the equation.
27 + -27 + 2x = -40 + -27

Combine like terms: 27 + -27 = 0
0 + 2x = -40 + -27
2x = -40 + -27

Combine like terms: -40 + -27 = -67
2x = -67

Divide each side by '2'.
x = -33.5

Simplifying
x = -33.5

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