0.4(x+100)=0.46x-428

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Solution for 0.4(x+100)=0.46x-428 equation: 


Simplifying
0.4(x + 100) = 0.46x + -428

Reorder the terms:
0.4(100 + x) = 0.46x + -428
(100 * 0.4 + x * 0.4) = 0.46x + -428
(40 + 0.4x) = 0.46x + -428

Reorder the terms:
40 + 0.4x = -428 + 0.46x

Solving
40 + 0.4x = -428 + 0.46x

Solving for variable 'x'.

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

Add '-0.46x' to each side of the equation.
40 + 0.4x + -0.46x = -428 + 0.46x + -0.46x

Combine like terms: 0.4x + -0.46x = -0.06x
40 + -0.06x = -428 + 0.46x + -0.46x

Combine like terms: 0.46x + -0.46x = 0.00
40 + -0.06x = -428 + 0.00
40 + -0.06x = -428

Add '-40' to each side of the equation.
40 + -40 + -0.06x = -428 + -40

Combine like terms: 40 + -40 = 0
0 + -0.06x = -428 + -40
-0.06x = -428 + -40

Combine like terms: -428 + -40 = -468
-0.06x = -468

Divide each side by '-0.06'.
x = 7800

Simplifying
x = 7800

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