137.5-7.8x=4.2x+21.1

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Solution for 137.5-7.8x=4.2x+21.1 equation: 


Simplifying
137.5 + -7.8x = 4.2x + 21.1

Reorder the terms:
137.5 + -7.8x = 21.1 + 4.2x

Solving
137.5 + -7.8x = 21.1 + 4.2x

Solving for variable 'x'.

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

Add '-4.2x' to each side of the equation.
137.5 + -7.8x + -4.2x = 21.1 + 4.2x + -4.2x

Combine like terms: -7.8x + -4.2x = -12x
137.5 + -12x = 21.1 + 4.2x + -4.2x

Combine like terms: 4.2x + -4.2x = 0.0
137.5 + -12x = 21.1 + 0.0
137.5 + -12x = 21.1

Add '-137.5' to each side of the equation.
137.5 + -137.5 + -12x = 21.1 + -137.5

Combine like terms: 137.5 + -137.5 = 0.0
0.0 + -12x = 21.1 + -137.5
-12x = 21.1 + -137.5

Combine like terms: 21.1 + -137.5 = -116.4
-12x = -116.4

Divide each side by '-12'.
x = 9.7

Simplifying
x = 9.7

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