0.1(50)=0.4(50+x)-0.7x

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Solution for 0.1(50)=0.4(50+x)-0.7x equation: 


Simplifying
0.1(50) = 0.4(50 + x) + -0.7x

Multiply 0.1 * 50
5 = 0.4(50 + x) + -0.7x
5 = (50 * 0.4 + x * 0.4) + -0.7x
5 = (20 + 0.4x) + -0.7x

Combine like terms: 0.4x + -0.7x = -0.3x
5 = 20 + -0.3x

Solving
5 = 20 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
5 + 0.3x = 20 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
5 + 0.3x = 20 + 0.0
5 + 0.3x = 20

Add '-5' to each side of the equation.
5 + -5 + 0.3x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + 0.3x = 20 + -5
0.3x = 20 + -5

Combine like terms: 20 + -5 = 15
0.3x = 15

Divide each side by '0.3'.
x = 50

Simplifying
x = 50

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