10x+2=3x-6

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


Simplifying
10x + 2 = 3x + -6

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

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

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

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

Combine like terms: 3x + -3x = 0
2 + 7x = -6 + 0
2 + 7x = -6

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

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

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

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

Simplifying
x = -1.142857143

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