4.7(x-2)=-0.3x+30.6

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Solution for 4.7(x-2)=-0.3x+30.6 equation: 


Simplifying
4.7(x + -2) = -0.3x + 30.6

Reorder the terms:
4.7(-2 + x) = -0.3x + 30.6
(-2 * 4.7 + x * 4.7) = -0.3x + 30.6
(-9.4 + 4.7x) = -0.3x + 30.6

Reorder the terms:
-9.4 + 4.7x = 30.6 + -0.3x

Solving
-9.4 + 4.7x = 30.6 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-9.4 + 4.7x + 0.3x = 30.6 + -0.3x + 0.3x

Combine like terms: 4.7x + 0.3x = 5x
-9.4 + 5x = 30.6 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-9.4 + 5x = 30.6 + 0.0
-9.4 + 5x = 30.6

Add '9.4' to each side of the equation.
-9.4 + 9.4 + 5x = 30.6 + 9.4

Combine like terms: -9.4 + 9.4 = 0.0
0.0 + 5x = 30.6 + 9.4
5x = 30.6 + 9.4

Combine like terms: 30.6 + 9.4 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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