x(0.1)+50*(0.7)=(50+x)*(0.6)

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Solution for x(0.1)+50*(0.7)=(50+x)*(0.6) equation: 


Simplifying
x(0.1) + 50(0.7) = (50 + x)(0.6)

Reorder the terms for easier multiplication:
0.1x + 50(0.7) = (50 + x)(0.6)

Multiply 50 * 0.7
0.1x + 35 = (50 + x)(0.6)

Reorder the terms:
35 + 0.1x = (50 + x)(0.6)

Reorder the terms for easier multiplication:
35 + 0.1x = 0.6(50 + x)
35 + 0.1x = (50 * 0.6 + x * 0.6)
35 + 0.1x = (30 + 0.6x)

Solving
35 + 0.1x = 30 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
35 + 0.1x + -0.6x = 30 + 0.6x + -0.6x

Combine like terms: 0.1x + -0.6x = -0.5x
35 + -0.5x = 30 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
35 + -0.5x = 30 + 0.0
35 + -0.5x = 30

Add '-35' to each side of the equation.
35 + -35 + -0.5x = 30 + -35

Combine like terms: 35 + -35 = 0
0 + -0.5x = 30 + -35
-0.5x = 30 + -35

Combine like terms: 30 + -35 = -5
-0.5x = -5

Divide each side by '-0.5'.
x = 10

Simplifying
x = 10

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