x+61=4x-2

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


Simplifying
x + 61 = 4x + -2

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

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

Solving
61 + x = -2 + 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.
61 + x + -4x = -2 + 4x + -4x

Combine like terms: x + -4x = -3x
61 + -3x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
61 + -3x = -2 + 0
61 + -3x = -2

Add '-61' to each side of the equation.
61 + -61 + -3x = -2 + -61

Combine like terms: 61 + -61 = 0
0 + -3x = -2 + -61
-3x = -2 + -61

Combine like terms: -2 + -61 = -63
-3x = -63

Divide each side by '-3'.
x = 21

Simplifying
x = 21

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