7.8(x-2)=-0.2x+24.4

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Solution for 7.8(x-2)=-0.2x+24.4 equation: 


Simplifying
7.8(x + -2) = -0.2x + 24.4

Reorder the terms:
7.8(-2 + x) = -0.2x + 24.4
(-2 * 7.8 + x * 7.8) = -0.2x + 24.4
(-15.6 + 7.8x) = -0.2x + 24.4

Reorder the terms:
-15.6 + 7.8x = 24.4 + -0.2x

Solving
-15.6 + 7.8x = 24.4 + -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.
-15.6 + 7.8x + 0.2x = 24.4 + -0.2x + 0.2x

Combine like terms: 7.8x + 0.2x = 8x
-15.6 + 8x = 24.4 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-15.6 + 8x = 24.4 + 0.0
-15.6 + 8x = 24.4

Add '15.6' to each side of the equation.
-15.6 + 15.6 + 8x = 24.4 + 15.6

Combine like terms: -15.6 + 15.6 = 0.0
0.0 + 8x = 24.4 + 15.6
8x = 24.4 + 15.6

Combine like terms: 24.4 + 15.6 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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