2x-6x+2=3x+10

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Solution for 2x-6x+2=3x+10 equation:


Simplifying
2x + -6x + 2 = 3x + 10

Reorder the terms:
2 + 2x + -6x = 3x + 10

Combine like terms: 2x + -6x = -4x
2 + -4x = 3x + 10

Reorder the terms:
2 + -4x = 10 + 3x

Solving
2 + -4x = 10 + 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 + -4x + -3x = 10 + 3x + -3x

Combine like terms: -4x + -3x = -7x
2 + -7x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -7x = 10 + 0
2 + -7x = 10

Add '-2' to each side of the equation.
2 + -2 + -7x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 10 + -2
-7x = 10 + -2

Combine like terms: 10 + -2 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

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