2x+6=10x-8

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


Simplifying
2x + 6 = 10x + -8

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

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

Solving
6 + 2x = -8 + 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 + 2x + -10x = -8 + 10x + -10x

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

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

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

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

Combine like terms: -8 + -6 = -14
-8x = -14

Divide each side by '-8'.
x = 1.75

Simplifying
x = 1.75

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