61=2x+4x+1

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Solution for 61=2x+4x+1 equation:


Simplifying
61 = 2x + 4x + 1

Reorder the terms:
61 = 1 + 2x + 4x

Combine like terms: 2x + 4x = 6x
61 = 1 + 6x

Solving
61 = 1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
61 + -6x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
61 + -6x = 1 + 0
61 + -6x = 1

Add '-61' to each side of the equation.
61 + -61 + -6x = 1 + -61

Combine like terms: 61 + -61 = 0
0 + -6x = 1 + -61
-6x = 1 + -61

Combine like terms: 1 + -61 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10

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