7.7(x-4)=0.3x+33.2

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Solution for 7.7(x-4)=0.3x+33.2 equation: 


Simplifying
7.7(x + -4) = 0.3x + 33.2

Reorder the terms:
7.7(-4 + x) = 0.3x + 33.2
(-4 * 7.7 + x * 7.7) = 0.3x + 33.2
(-30.8 + 7.7x) = 0.3x + 33.2

Reorder the terms:
-30.8 + 7.7x = 33.2 + 0.3x

Solving
-30.8 + 7.7x = 33.2 + 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.
-30.8 + 7.7x + -0.3x = 33.2 + 0.3x + -0.3x

Combine like terms: 7.7x + -0.3x = 7.4x
-30.8 + 7.4x = 33.2 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-30.8 + 7.4x = 33.2 + 0.0
-30.8 + 7.4x = 33.2

Add '30.8' to each side of the equation.
-30.8 + 30.8 + 7.4x = 33.2 + 30.8

Combine like terms: -30.8 + 30.8 = 0.0
0.0 + 7.4x = 33.2 + 30.8
7.4x = 33.2 + 30.8

Combine like terms: 33.2 + 30.8 = 64
7.4x = 64

Divide each side by '7.4'.
x = 8.648648649

Simplifying
x = 8.648648649

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