6x-2=-3x+5

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


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

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

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

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

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 6x + 3x = 5 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-2 + 9x = 5 + 0
-2 + 9x = 5

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

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

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

Divide each side by '9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

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