5x+8=14x-10

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Solution for 5x+8=14x-10 equation:


Simplifying
5x + 8 = 14x + -10

Reorder the terms:
8 + 5x = 14x + -10

Reorder the terms:
8 + 5x = -10 + 14x

Solving
8 + 5x = -10 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
8 + 5x + -14x = -10 + 14x + -14x

Combine like terms: 5x + -14x = -9x
8 + -9x = -10 + 14x + -14x

Combine like terms: 14x + -14x = 0
8 + -9x = -10 + 0
8 + -9x = -10

Add '-8' to each side of the equation.
8 + -8 + -9x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = -10 + -8
-9x = -10 + -8

Combine like terms: -10 + -8 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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