0.75x+.05(4-x)=.10(100)

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Solution for 0.75x+.05(4-x)=.10(100) equation: 


Simplifying
0.75x + 0.05(4 + -1x) = 0.10(100)
0.75x + (4 * 0.05 + -1x * 0.05) = 0.10(100)
0.75x + (0.2 + -0.05x) = 0.10(100)

Reorder the terms:
0.2 + 0.75x + -0.05x = 0.10(100)

Combine like terms: 0.75x + -0.05x = 0.7x
0.2 + 0.7x = 0.10(100)

Multiply 0.10 * 100
0.2 + 0.7x = 10

Solving
0.2 + 0.7x = 10

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.7x = 10 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.7x = 10 + -0.2
0.7x = 10 + -0.2

Combine like terms: 10 + -0.2 = 9.8
0.7x = 9.8

Divide each side by '0.7'.
x = 14

Simplifying
x = 14

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