0.65x+0.05(14-x)=0.10(91)

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Solution for 0.65x+0.05(14-x)=0.10(91) equation: 


Simplifying
0.65x + 0.05(14 + -1x) = 0.10(91)
0.65x + (14 * 0.05 + -1x * 0.05) = 0.10(91)
0.65x + (0.7 + -0.05x) = 0.10(91)

Reorder the terms:
0.7 + 0.65x + -0.05x = 0.10(91)

Combine like terms: 0.65x + -0.05x = 0.6x
0.7 + 0.6x = 0.10(91)

Multiply 0.10 * 91
0.7 + 0.6x = 9.1

Solving
0.7 + 0.6x = 9.1

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 + 0.6x = 9.1 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.6x = 9.1 + -0.7
0.6x = 9.1 + -0.7

Combine like terms: 9.1 + -0.7 = 8.4
0.6x = 8.4

Divide each side by '0.6'.
x = 14

Simplifying
x = 14

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