-3x+5=6x-2

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Solution for -3x+5=6x-2 equation:


Simplifying
-3x + 5 = 6x + -2

Reorder the terms:
5 + -3x = 6x + -2

Reorder the terms:
5 + -3x = -2 + 6x

Solving
5 + -3x = -2 + 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.
5 + -3x + -6x = -2 + 6x + -6x

Combine like terms: -3x + -6x = -9x
5 + -9x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -9x = -2 + 0
5 + -9x = -2

Add '-5' to each side of the equation.
5 + -5 + -9x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -2 + -5
-9x = -2 + -5

Combine like terms: -2 + -5 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

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