7.6(x-2)=-0.4x+32.8

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Solution for 7.6(x-2)=-0.4x+32.8 equation: 


Simplifying
7.6(x + -2) = -0.4x + 32.8

Reorder the terms:
7.6(-2 + x) = -0.4x + 32.8
(-2 * 7.6 + x * 7.6) = -0.4x + 32.8
(-15.2 + 7.6x) = -0.4x + 32.8

Reorder the terms:
-15.2 + 7.6x = 32.8 + -0.4x

Solving
-15.2 + 7.6x = 32.8 + -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.
-15.2 + 7.6x + 0.4x = 32.8 + -0.4x + 0.4x

Combine like terms: 7.6x + 0.4x = 8x
-15.2 + 8x = 32.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-15.2 + 8x = 32.8 + 0.0
-15.2 + 8x = 32.8

Add '15.2' to each side of the equation.
-15.2 + 15.2 + 8x = 32.8 + 15.2

Combine like terms: -15.2 + 15.2 = 0.0
0.0 + 8x = 32.8 + 15.2
8x = 32.8 + 15.2

Combine like terms: 32.8 + 15.2 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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