6x+2=7x-3

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


Simplifying
6x + 2 = 7x + -3

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

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

Solving
2 + 6x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 6x + -7x = -3 + 7x + -7x

Combine like terms: 6x + -7x = -1x
2 + -1x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -1x = -3 + 0
2 + -1x = -3

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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