0.75x+0.05(14-x)=0.10(105)

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Solution for 0.75x+0.05(14-x)=0.10(105) equation: 


Simplifying
0.75x + 0.05(14 + -1x) = 0.10(105)
0.75x + (14 * 0.05 + -1x * 0.05) = 0.10(105)
0.75x + (0.7 + -0.05x) = 0.10(105)

Reorder the terms:
0.7 + 0.75x + -0.05x = 0.10(105)

Combine like terms: 0.75x + -0.05x = 0.7x
0.7 + 0.7x = 0.10(105)

Multiply 0.10 * 105
0.7 + 0.7x = 10.5

Solving
0.7 + 0.7x = 10.5

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.7x = 10.5 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.7x = 10.5 + -0.7
0.7x = 10.5 + -0.7

Combine like terms: 10.5 + -0.7 = 9.8
0.7x = 9.8

Divide each side by '0.7'.
x = 14

Simplifying
x = 14

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