7.8(x-1)=-0.2x+40.2

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Solution for 7.8(x-1)=-0.2x+40.2 equation: 


Simplifying
7.8(x + -1) = -0.2x + 40.2

Reorder the terms:
7.8(-1 + x) = -0.2x + 40.2
(-1 * 7.8 + x * 7.8) = -0.2x + 40.2
(-7.8 + 7.8x) = -0.2x + 40.2

Reorder the terms:
-7.8 + 7.8x = 40.2 + -0.2x

Solving
-7.8 + 7.8x = 40.2 + -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.
-7.8 + 7.8x + 0.2x = 40.2 + -0.2x + 0.2x

Combine like terms: 7.8x + 0.2x = 8x
-7.8 + 8x = 40.2 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-7.8 + 8x = 40.2 + 0.0
-7.8 + 8x = 40.2

Add '7.8' to each side of the equation.
-7.8 + 7.8 + 8x = 40.2 + 7.8

Combine like terms: -7.8 + 7.8 = 0.0
0.0 + 8x = 40.2 + 7.8
8x = 40.2 + 7.8

Combine like terms: 40.2 + 7.8 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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