0.4(x+100)=0.45x-345

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Solution for 0.4(x+100)=0.45x-345 equation: 


Simplifying
0.4(x + 100) = 0.45x + -345

Reorder the terms:
0.4(100 + x) = 0.45x + -345
(100 * 0.4 + x * 0.4) = 0.45x + -345
(40 + 0.4x) = 0.45x + -345

Reorder the terms:
40 + 0.4x = -345 + 0.45x

Solving
40 + 0.4x = -345 + 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.
40 + 0.4x + -0.45x = -345 + 0.45x + -0.45x

Combine like terms: 0.4x + -0.45x = -0.05x
40 + -0.05x = -345 + 0.45x + -0.45x

Combine like terms: 0.45x + -0.45x = 0.00
40 + -0.05x = -345 + 0.00
40 + -0.05x = -345

Add '-40' to each side of the equation.
40 + -40 + -0.05x = -345 + -40

Combine like terms: 40 + -40 = 0
0 + -0.05x = -345 + -40
-0.05x = -345 + -40

Combine like terms: -345 + -40 = -385
-0.05x = -385

Divide each side by '-0.05'.
x = 7700

Simplifying
x = 7700

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