2x-3=-6x+61

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


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

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

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

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

Combine like terms: 2x + 6x = 8x
-3 + 8x = 61 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 8x = 61 + 0
-3 + 8x = 61

Add '3' to each side of the equation.
-3 + 3 + 8x = 61 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 61 + 3
8x = 61 + 3

Combine like terms: 61 + 3 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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