5(x-8)=3(3x-40)

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Solution for 5(x-8)=3(3x-40) equation:


Simplifying
5(x + -8) = 3(3x + -40)

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

Reorder the terms:
-40 + 5x = 3(-40 + 3x)
-40 + 5x = (-40 * 3 + 3x * 3)
-40 + 5x = (-120 + 9x)

Solving
-40 + 5x = -120 + 9x

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.
-40 + 5x + -9x = -120 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-40 + -4x = -120 + 9x + -9x

Combine like terms: 9x + -9x = 0
-40 + -4x = -120 + 0
-40 + -4x = -120

Add '40' to each side of the equation.
-40 + 40 + -4x = -120 + 40

Combine like terms: -40 + 40 = 0
0 + -4x = -120 + 40
-4x = -120 + 40

Combine like terms: -120 + 40 = -80
-4x = -80

Divide each side by '-4'.
x = 20

Simplifying
x = 20

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