0.4(x+300)=0.46x-306

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Solution for 0.4(x+300)=0.46x-306 equation: 


Simplifying
0.4(x + 300) = 0.46x + -306

Reorder the terms:
0.4(300 + x) = 0.46x + -306
(300 * 0.4 + x * 0.4) = 0.46x + -306
(120 + 0.4x) = 0.46x + -306

Reorder the terms:
120 + 0.4x = -306 + 0.46x

Solving
120 + 0.4x = -306 + 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.
120 + 0.4x + -0.46x = -306 + 0.46x + -0.46x

Combine like terms: 0.4x + -0.46x = -0.06x
120 + -0.06x = -306 + 0.46x + -0.46x

Combine like terms: 0.46x + -0.46x = 0.00
120 + -0.06x = -306 + 0.00
120 + -0.06x = -306

Add '-120' to each side of the equation.
120 + -120 + -0.06x = -306 + -120

Combine like terms: 120 + -120 = 0
0 + -0.06x = -306 + -120
-0.06x = -306 + -120

Combine like terms: -306 + -120 = -426
-0.06x = -426

Divide each side by '-0.06'.
x = 7100

Simplifying
x = 7100

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