5x+8=10x-14

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


Simplifying
5x + 8 = 10x + -14

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

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

Solving
8 + 5x = -14 + 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.
8 + 5x + -10x = -14 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
8 + -5x = -14 + 0
8 + -5x = -14

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

Combine like terms: 8 + -8 = 0
0 + -5x = -14 + -8
-5x = -14 + -8

Combine like terms: -14 + -8 = -22
-5x = -22

Divide each side by '-5'.
x = 4.4

Simplifying
x = 4.4

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