2-3x=6x-61

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Solution for 2-3x=6x-61 equation:


Simplifying
2 + -3x = 6x + -61

Reorder the terms:
2 + -3x = -61 + 6x

Solving
2 + -3x = -61 + 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.
2 + -3x + -6x = -61 + 6x + -6x

Combine like terms: -3x + -6x = -9x
2 + -9x = -61 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -9x = -61 + 0
2 + -9x = -61

Add '-2' to each side of the equation.
2 + -2 + -9x = -61 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = -61 + -2
-9x = -61 + -2

Combine like terms: -61 + -2 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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