6x-50=4x+100

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Solution for 6x-50=4x+100 equation:


Simplifying
6x + -50 = 4x + 100

Reorder the terms:
-50 + 6x = 4x + 100

Reorder the terms:
-50 + 6x = 100 + 4x

Solving
-50 + 6x = 100 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-50 + 6x + -4x = 100 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-50 + 2x = 100 + 4x + -4x

Combine like terms: 4x + -4x = 0
-50 + 2x = 100 + 0
-50 + 2x = 100

Add '50' to each side of the equation.
-50 + 50 + 2x = 100 + 50

Combine like terms: -50 + 50 = 0
0 + 2x = 100 + 50
2x = 100 + 50

Combine like terms: 100 + 50 = 150
2x = 150

Divide each side by '2'.
x = 75

Simplifying
x = 75

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