50-2x=3(x-40)

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Solution for 50-2x=3(x-40) equation:


Simplifying
50 + -2x = 3(x + -40)

Reorder the terms:
50 + -2x = 3(-40 + x)
50 + -2x = (-40 * 3 + x * 3)
50 + -2x = (-120 + 3x)

Solving
50 + -2x = -120 + 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.
50 + -2x + -3x = -120 + 3x + -3x

Combine like terms: -2x + -3x = -5x
50 + -5x = -120 + 3x + -3x

Combine like terms: 3x + -3x = 0
50 + -5x = -120 + 0
50 + -5x = -120

Add '-50' to each side of the equation.
50 + -50 + -5x = -120 + -50

Combine like terms: 50 + -50 = 0
0 + -5x = -120 + -50
-5x = -120 + -50

Combine like terms: -120 + -50 = -170
-5x = -170

Divide each side by '-5'.
x = 34

Simplifying
x = 34

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