4.6(x-1)=-0.4x+30.4

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Solution for 4.6(x-1)=-0.4x+30.4 equation: 


Simplifying
4.6(x + -1) = -0.4x + 30.4

Reorder the terms:
4.6(-1 + x) = -0.4x + 30.4
(-1 * 4.6 + x * 4.6) = -0.4x + 30.4
(-4.6 + 4.6x) = -0.4x + 30.4

Reorder the terms:
-4.6 + 4.6x = 30.4 + -0.4x

Solving
-4.6 + 4.6x = 30.4 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-4.6 + 4.6x + 0.4x = 30.4 + -0.4x + 0.4x

Combine like terms: 4.6x + 0.4x = 5x
-4.6 + 5x = 30.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-4.6 + 5x = 30.4 + 0.0
-4.6 + 5x = 30.4

Add '4.6' to each side of the equation.
-4.6 + 4.6 + 5x = 30.4 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + 5x = 30.4 + 4.6
5x = 30.4 + 4.6

Combine like terms: 30.4 + 4.6 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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