0.75x+0.05(16-x)=.10(36)

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Solution for 0.75x+0.05(16-x)=.10(36) equation: 


Simplifying
0.75x + 0.05(16 + -1x) = 0.10(36)
0.75x + (16 * 0.05 + -1x * 0.05) = 0.10(36)
0.75x + (0.8 + -0.05x) = 0.10(36)

Reorder the terms:
0.8 + 0.75x + -0.05x = 0.10(36)

Combine like terms: 0.75x + -0.05x = 0.7x
0.8 + 0.7x = 0.10(36)

Multiply 0.10 * 36
0.8 + 0.7x = 3.6

Solving
0.8 + 0.7x = 3.6

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.7x = 3.6 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.7x = 3.6 + -0.8
0.7x = 3.6 + -0.8

Combine like terms: 3.6 + -0.8 = 2.8
0.7x = 2.8

Divide each side by '0.7'.
x = 4

Simplifying
x = 4

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