6x+2=x+3

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


Simplifying
6x + 2 = x + 3

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

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

Solving
2 + 6x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 6x + -1x = 3 + x + -1x

Combine like terms: 6x + -1x = 5x
2 + 5x = 3 + x + -1x

Combine like terms: x + -1x = 0
2 + 5x = 3 + 0
2 + 5x = 3

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

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

Combine like terms: 3 + -2 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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