5x-14=2.5x+6

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Solution for 5x-14=2.5x+6 equation:


Simplifying
5x + -14 = 2.5x + 6

Reorder the terms:
-14 + 5x = 2.5x + 6

Reorder the terms:
-14 + 5x = 6 + 2.5x

Solving
-14 + 5x = 6 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
-14 + 5x + -2.5x = 6 + 2.5x + -2.5x

Combine like terms: 5x + -2.5x = 2.5x
-14 + 2.5x = 6 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
-14 + 2.5x = 6 + 0.0
-14 + 2.5x = 6

Add '14' to each side of the equation.
-14 + 14 + 2.5x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 2.5x = 6 + 14
2.5x = 6 + 14

Combine like terms: 6 + 14 = 20
2.5x = 20

Divide each side by '2.5'.
x = 8

Simplifying
x = 8

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