-0.5x+7.78=0.3x+1.98

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Solution for -0.5x+7.78=0.3x+1.98 equation: 


Simplifying
-0.5x + 7.78 = 0.3x + 1.98

Reorder the terms:
7.78 + -0.5x = 0.3x + 1.98

Reorder the terms:
7.78 + -0.5x = 1.98 + 0.3x

Solving
7.78 + -0.5x = 1.98 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
7.78 + -0.5x + -0.3x = 1.98 + 0.3x + -0.3x

Combine like terms: -0.5x + -0.3x = -0.8x
7.78 + -0.8x = 1.98 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
7.78 + -0.8x = 1.98 + 0.0
7.78 + -0.8x = 1.98

Add '-7.78' to each side of the equation.
7.78 + -7.78 + -0.8x = 1.98 + -7.78

Combine like terms: 7.78 + -7.78 = 0.00
0.00 + -0.8x = 1.98 + -7.78
-0.8x = 1.98 + -7.78

Combine like terms: 1.98 + -7.78 = -5.8
-0.8x = -5.8

Divide each side by '-0.8'.
x = 7.25

Simplifying
x = 7.25

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