2x+6=10-8x

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Solution for 2x+6=10-8x equation:


Simplifying
2x + 6 = 10 + -8x

Reorder the terms:
6 + 2x = 10 + -8x

Solving
6 + 2x = 10 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + 2x + 8x = 10 + -8x + 8x

Combine like terms: 2x + 8x = 10x
6 + 10x = 10 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 10x = 10 + 0
6 + 10x = 10

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

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

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

Divide each side by '10'.
x = 0.4

Simplifying
x = 0.4

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