7.6(x-3)=-0.4x+41.2

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Solution for 7.6(x-3)=-0.4x+41.2 equation: 


Simplifying
7.6(x + -3) = -0.4x + 41.2

Reorder the terms:
7.6(-3 + x) = -0.4x + 41.2
(-3 * 7.6 + x * 7.6) = -0.4x + 41.2
(-22.8 + 7.6x) = -0.4x + 41.2

Reorder the terms:
-22.8 + 7.6x = 41.2 + -0.4x

Solving
-22.8 + 7.6x = 41.2 + -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.
-22.8 + 7.6x + 0.4x = 41.2 + -0.4x + 0.4x

Combine like terms: 7.6x + 0.4x = 8x
-22.8 + 8x = 41.2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-22.8 + 8x = 41.2 + 0.0
-22.8 + 8x = 41.2

Add '22.8' to each side of the equation.
-22.8 + 22.8 + 8x = 41.2 + 22.8

Combine like terms: -22.8 + 22.8 = 0.0
0.0 + 8x = 41.2 + 22.8
8x = 41.2 + 22.8

Combine like terms: 41.2 + 22.8 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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