7.8(x-3)=-0.2x+24.6

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Solution for 7.8(x-3)=-0.2x+24.6 equation: 


Simplifying
7.8(x + -3) = -0.2x + 24.6

Reorder the terms:
7.8(-3 + x) = -0.2x + 24.6
(-3 * 7.8 + x * 7.8) = -0.2x + 24.6
(-23.4 + 7.8x) = -0.2x + 24.6

Reorder the terms:
-23.4 + 7.8x = 24.6 + -0.2x

Solving
-23.4 + 7.8x = 24.6 + -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.
-23.4 + 7.8x + 0.2x = 24.6 + -0.2x + 0.2x

Combine like terms: 7.8x + 0.2x = 8x
-23.4 + 8x = 24.6 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-23.4 + 8x = 24.6 + 0.0
-23.4 + 8x = 24.6

Add '23.4' to each side of the equation.
-23.4 + 23.4 + 8x = 24.6 + 23.4

Combine like terms: -23.4 + 23.4 = 0.0
0.0 + 8x = 24.6 + 23.4
8x = 24.6 + 23.4

Combine like terms: 24.6 + 23.4 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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