0.95x+0.05(14-x)=0.10(61)

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Solution for 0.95x+0.05(14-x)=0.10(61) equation: 


Simplifying
0.95x + 0.05(14 + -1x) = 0.10(61)
0.95x + (14 * 0.05 + -1x * 0.05) = 0.10(61)
0.95x + (0.7 + -0.05x) = 0.10(61)

Reorder the terms:
0.7 + 0.95x + -0.05x = 0.10(61)

Combine like terms: 0.95x + -0.05x = 0.9x
0.7 + 0.9x = 0.10(61)

Multiply 0.10 * 61
0.7 + 0.9x = 6.1

Solving
0.7 + 0.9x = 6.1

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 + 0.9x = 6.1 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.9x = 6.1 + -0.7
0.9x = 6.1 + -0.7

Combine like terms: 6.1 + -0.7 = 5.4
0.9x = 5.4

Divide each side by '0.9'.
x = 6

Simplifying
x = 6

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