0.4(x+100)=0.47x-506

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Solution for 0.4(x+100)=0.47x-506 equation: 


Simplifying
0.4(x + 100) = 0.47x + -506

Reorder the terms:
0.4(100 + x) = 0.47x + -506
(100 * 0.4 + x * 0.4) = 0.47x + -506
(40 + 0.4x) = 0.47x + -506

Reorder the terms:
40 + 0.4x = -506 + 0.47x

Solving
40 + 0.4x = -506 + 0.47x

Solving for variable 'x'.

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

Add '-0.47x' to each side of the equation.
40 + 0.4x + -0.47x = -506 + 0.47x + -0.47x

Combine like terms: 0.4x + -0.47x = -0.07x
40 + -0.07x = -506 + 0.47x + -0.47x

Combine like terms: 0.47x + -0.47x = 0.00
40 + -0.07x = -506 + 0.00
40 + -0.07x = -506

Add '-40' to each side of the equation.
40 + -40 + -0.07x = -506 + -40

Combine like terms: 40 + -40 = 0
0 + -0.07x = -506 + -40
-0.07x = -506 + -40

Combine like terms: -506 + -40 = -546
-0.07x = -546

Divide each side by '-0.07'.
x = 7800

Simplifying
x = 7800

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