7.8(x-4)=-0.2x+32.8

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Solution for 7.8(x-4)=-0.2x+32.8 equation: 


Simplifying
7.8(x + -4) = -0.2x + 32.8

Reorder the terms:
7.8(-4 + x) = -0.2x + 32.8
(-4 * 7.8 + x * 7.8) = -0.2x + 32.8
(-31.2 + 7.8x) = -0.2x + 32.8

Reorder the terms:
-31.2 + 7.8x = 32.8 + -0.2x

Solving
-31.2 + 7.8x = 32.8 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-31.2 + 7.8x + 0.2x = 32.8 + -0.2x + 0.2x

Combine like terms: 7.8x + 0.2x = 8x
-31.2 + 8x = 32.8 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-31.2 + 8x = 32.8 + 0.0
-31.2 + 8x = 32.8

Add '31.2' to each side of the equation.
-31.2 + 31.2 + 8x = 32.8 + 31.2

Combine like terms: -31.2 + 31.2 = 0.0
0.0 + 8x = 32.8 + 31.2
8x = 32.8 + 31.2

Combine like terms: 32.8 + 31.2 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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