3x-10=4.6x+8

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Solution for 3x-10=4.6x+8 equation:


Simplifying
3x + -10 = 4.6x + 8

Reorder the terms:
-10 + 3x = 4.6x + 8

Reorder the terms:
-10 + 3x = 8 + 4.6x

Solving
-10 + 3x = 8 + 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.
-10 + 3x + -4.6x = 8 + 4.6x + -4.6x

Combine like terms: 3x + -4.6x = -1.6x
-10 + -1.6x = 8 + 4.6x + -4.6x

Combine like terms: 4.6x + -4.6x = 0.0
-10 + -1.6x = 8 + 0.0
-10 + -1.6x = 8

Add '10' to each side of the equation.
-10 + 10 + -1.6x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -1.6x = 8 + 10
-1.6x = 8 + 10

Combine like terms: 8 + 10 = 18
-1.6x = 18

Divide each side by '-1.6'.
x = -11.25

Simplifying
x = -11.25

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