7.7(x-2)=-.3x+48.6

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Solution for 7.7(x-2)=-.3x+48.6 equation: 


Simplifying
7.7(x + -2) = -0.3x + 48.6

Reorder the terms:
7.7(-2 + x) = -0.3x + 48.6
(-2 * 7.7 + x * 7.7) = -0.3x + 48.6
(-15.4 + 7.7x) = -0.3x + 48.6

Reorder the terms:
-15.4 + 7.7x = 48.6 + -0.3x

Solving
-15.4 + 7.7x = 48.6 + -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.
-15.4 + 7.7x + 0.3x = 48.6 + -0.3x + 0.3x

Combine like terms: 7.7x + 0.3x = 8x
-15.4 + 8x = 48.6 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-15.4 + 8x = 48.6 + 0.0
-15.4 + 8x = 48.6

Add '15.4' to each side of the equation.
-15.4 + 15.4 + 8x = 48.6 + 15.4

Combine like terms: -15.4 + 15.4 = 0.0
0.0 + 8x = 48.6 + 15.4
8x = 48.6 + 15.4

Combine like terms: 48.6 + 15.4 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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