6x-2=3x-7

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Solution for 6x-2=3x-7 equation:


Simplifying
6x + -2 = 3x + -7

Reorder the terms:
-2 + 6x = 3x + -7

Reorder the terms:
-2 + 6x = -7 + 3x

Solving
-2 + 6x = -7 + 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 = -7 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-2 + 3x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 3x = -7 + 0
-2 + 3x = -7

Add '2' to each side of the equation.
-2 + 2 + 3x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = -7 + 2
3x = -7 + 2

Combine like terms: -7 + 2 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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