3x+2=7x-6

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


Simplifying
3x + 2 = 7x + -6

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

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

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

Combine like terms: 3x + -7x = -4x
2 + -4x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -4x = -6 + 0
2 + -4x = -6

Add '-2' to each side of the equation.
2 + -2 + -4x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -6 + -2
-4x = -6 + -2

Combine like terms: -6 + -2 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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