3.8+2.4x-5.2=4.6x+5.2

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Solution for 3.8+2.4x-5.2=4.6x+5.2 equation:


Simplifying
3.8 + 2.4x + -5.2 = 4.6x + 5.2

Reorder the terms:
3.8 + -5.2 + 2.4x = 4.6x + 5.2

Combine like terms: 3.8 + -5.2 = -1.4
-1.4 + 2.4x = 4.6x + 5.2

Reorder the terms:
-1.4 + 2.4x = 5.2 + 4.6x

Solving
-1.4 + 2.4x = 5.2 + 4.6x

Solving for variable 'x'.

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

Add '-4.6x' to each side of the equation.
-1.4 + 2.4x + -4.6x = 5.2 + 4.6x + -4.6x

Combine like terms: 2.4x + -4.6x = -2.2x
-1.4 + -2.2x = 5.2 + 4.6x + -4.6x

Combine like terms: 4.6x + -4.6x = 0.0
-1.4 + -2.2x = 5.2 + 0.0
-1.4 + -2.2x = 5.2

Add '1.4' to each side of the equation.
-1.4 + 1.4 + -2.2x = 5.2 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + -2.2x = 5.2 + 1.4
-2.2x = 5.2 + 1.4

Combine like terms: 5.2 + 1.4 = 6.6
-2.2x = 6.6

Divide each side by '-2.2'.
x = -3

Simplifying
x = -3

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