7.7(x-3)=-0.3x+40.9

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Solution for 7.7(x-3)=-0.3x+40.9 equation: 


Simplifying
7.7(x + -3) = -0.3x + 40.9

Reorder the terms:
7.7(-3 + x) = -0.3x + 40.9
(-3 * 7.7 + x * 7.7) = -0.3x + 40.9
(-23.1 + 7.7x) = -0.3x + 40.9

Reorder the terms:
-23.1 + 7.7x = 40.9 + -0.3x

Solving
-23.1 + 7.7x = 40.9 + -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.
-23.1 + 7.7x + 0.3x = 40.9 + -0.3x + 0.3x

Combine like terms: 7.7x + 0.3x = 8x
-23.1 + 8x = 40.9 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-23.1 + 8x = 40.9 + 0.0
-23.1 + 8x = 40.9

Add '23.1' to each side of the equation.
-23.1 + 23.1 + 8x = 40.9 + 23.1

Combine like terms: -23.1 + 23.1 = 0.0
0.0 + 8x = 40.9 + 23.1
8x = 40.9 + 23.1

Combine like terms: 40.9 + 23.1 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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