6x-46=4x+75

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Solution for 6x-46=4x+75 equation:


Simplifying
6x + -46 = 4x + 75

Reorder the terms:
-46 + 6x = 4x + 75

Reorder the terms:
-46 + 6x = 75 + 4x

Solving
-46 + 6x = 75 + 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.
-46 + 6x + -4x = 75 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-46 + 2x = 75 + 4x + -4x

Combine like terms: 4x + -4x = 0
-46 + 2x = 75 + 0
-46 + 2x = 75

Add '46' to each side of the equation.
-46 + 46 + 2x = 75 + 46

Combine like terms: -46 + 46 = 0
0 + 2x = 75 + 46
2x = 75 + 46

Combine like terms: 75 + 46 = 121
2x = 121

Divide each side by '2'.
x = 60.5

Simplifying
x = 60.5

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