3x-14=8x+10

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Solution for 3x-14=8x+10 equation:


Simplifying
3x + -14 = 8x + 10

Reorder the terms:
-14 + 3x = 8x + 10

Reorder the terms:
-14 + 3x = 10 + 8x

Solving
-14 + 3x = 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.
-14 + 3x + -8x = 10 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-14 + -5x = 10 + 8x + -8x

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

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

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

Combine like terms: 10 + 14 = 24
-5x = 24

Divide each side by '-5'.
x = -4.8

Simplifying
x = -4.8

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