2x+10=8x-14

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Solution for 2x+10=8x-14 equation:


Simplifying
2x + 10 = 8x + -14

Reorder the terms:
10 + 2x = 8x + -14

Reorder the terms:
10 + 2x = -14 + 8x

Solving
10 + 2x = -14 + 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.
10 + 2x + -8x = -14 + 8x + -8x

Combine like terms: 2x + -8x = -6x
10 + -6x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -6x = -14 + 0
10 + -6x = -14

Add '-10' to each side of the equation.
10 + -10 + -6x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -14 + -10
-6x = -14 + -10

Combine like terms: -14 + -10 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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