6.1x-15.2+2.9x=4.2+10x

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Solution for 6.1x-15.2+2.9x=4.2+10x equation: 


Simplifying
6.1x + -15.2 + 2.9x = 4.2 + 10x

Reorder the terms:
-15.2 + 6.1x + 2.9x = 4.2 + 10x

Combine like terms: 6.1x + 2.9x = 9x
-15.2 + 9x = 4.2 + 10x

Solving
-15.2 + 9x = 4.2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-15.2 + 9x + -10x = 4.2 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-15.2 + -1x = 4.2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-15.2 + -1x = 4.2 + 0
-15.2 + -1x = 4.2

Add '15.2' to each side of the equation.
-15.2 + 15.2 + -1x = 4.2 + 15.2

Combine like terms: -15.2 + 15.2 = 0.0
0.0 + -1x = 4.2 + 15.2
-1x = 4.2 + 15.2

Combine like terms: 4.2 + 15.2 = 19.4
-1x = 19.4

Divide each side by '-1'.
x = -19.4

Simplifying
x = -19.4

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