8.4x+15=22x-24

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Solution for 8.4x+15=22x-24 equation:


Simplifying
8.4x + 15 = 22x + -24

Reorder the terms:
15 + 8.4x = 22x + -24

Reorder the terms:
15 + 8.4x = -24 + 22x

Solving
15 + 8.4x = -24 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
15 + 8.4x + -22x = -24 + 22x + -22x

Combine like terms: 8.4x + -22x = -13.6x
15 + -13.6x = -24 + 22x + -22x

Combine like terms: 22x + -22x = 0
15 + -13.6x = -24 + 0
15 + -13.6x = -24

Add '-15' to each side of the equation.
15 + -15 + -13.6x = -24 + -15

Combine like terms: 15 + -15 = 0
0 + -13.6x = -24 + -15
-13.6x = -24 + -15

Combine like terms: -24 + -15 = -39
-13.6x = -39

Divide each side by '-13.6'.
x = 2.867647059

Simplifying
x = 2.867647059

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