0.30x+0.70(100)=0.50(100+x)

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Solution for 0.30x+0.70(100)=0.50(100+x) equation: 


Simplifying
0.30x + 0.70(100) = 0.50(100 + x)

Multiply 0.70 * 100
0.30x + 70 = 0.50(100 + x)

Reorder the terms:
70 + 0.30x = 0.50(100 + x)
70 + 0.30x = (100 * 0.50 + x * 0.50)
70 + 0.30x = (50 + 0.50x)

Solving
70 + 0.30x = 50 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
70 + 0.30x + -0.50x = 50 + 0.50x + -0.50x

Combine like terms: 0.30x + -0.50x = -0.2x
70 + -0.2x = 50 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
70 + -0.2x = 50 + 0.00
70 + -0.2x = 50

Add '-70' to each side of the equation.
70 + -70 + -0.2x = 50 + -70

Combine like terms: 70 + -70 = 0
0 + -0.2x = 50 + -70
-0.2x = 50 + -70

Combine like terms: 50 + -70 = -20
-0.2x = -20

Divide each side by '-0.2'.
x = 100

Simplifying
x = 100

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