7.6(x-4)=-0.4x+48.4

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Solution for 7.6(x-4)=-0.4x+48.4 equation: 


Simplifying
7.6(x + -4) = -0.4x + 48.4

Reorder the terms:
7.6(-4 + x) = -0.4x + 48.4
(-4 * 7.6 + x * 7.6) = -0.4x + 48.4
(-30.4 + 7.6x) = -0.4x + 48.4

Reorder the terms:
-30.4 + 7.6x = 48.4 + -0.4x

Solving
-30.4 + 7.6x = 48.4 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-30.4 + 7.6x + 0.4x = 48.4 + -0.4x + 0.4x

Combine like terms: 7.6x + 0.4x = 8x
-30.4 + 8x = 48.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-30.4 + 8x = 48.4 + 0.0
-30.4 + 8x = 48.4

Add '30.4' to each side of the equation.
-30.4 + 30.4 + 8x = 48.4 + 30.4

Combine like terms: -30.4 + 30.4 = 0.0
0.0 + 8x = 48.4 + 30.4
8x = 48.4 + 30.4

Combine like terms: 48.4 + 30.4 = 78.8
8x = 78.8

Divide each side by '8'.
x = 9.85

Simplifying
x = 9.85

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