3x+6=10x-2

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


Simplifying
3x + 6 = 10x + -2

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

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

Solving
6 + 3x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 3x + -10x = -2 + 10x + -10x

Combine like terms: 3x + -10x = -7x
6 + -7x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -7x = -2 + 0
6 + -7x = -2

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

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

Combine like terms: -2 + -6 = -8
-7x = -8

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

Simplifying
x = 1.142857143

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