0.4(x+300)=0.45x-260

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Solution for 0.4(x+300)=0.45x-260 equation: 


Simplifying
0.4(x + 300) = 0.45x + -260

Reorder the terms:
0.4(300 + x) = 0.45x + -260
(300 * 0.4 + x * 0.4) = 0.45x + -260
(120 + 0.4x) = 0.45x + -260

Reorder the terms:
120 + 0.4x = -260 + 0.45x

Solving
120 + 0.4x = -260 + 0.45x

Solving for variable 'x'.

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

Add '-0.45x' to each side of the equation.
120 + 0.4x + -0.45x = -260 + 0.45x + -0.45x

Combine like terms: 0.4x + -0.45x = -0.05x
120 + -0.05x = -260 + 0.45x + -0.45x

Combine like terms: 0.45x + -0.45x = 0.00
120 + -0.05x = -260 + 0.00
120 + -0.05x = -260

Add '-120' to each side of the equation.
120 + -120 + -0.05x = -260 + -120

Combine like terms: 120 + -120 = 0
0 + -0.05x = -260 + -120
-0.05x = -260 + -120

Combine like terms: -260 + -120 = -380
-0.05x = -380

Divide each side by '-0.05'.
x = 7600

Simplifying
x = 7600

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