0.45x+.05(14-x)=.10(55)

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Solution for 0.45x+.05(14-x)=.10(55) equation:


Simplifying
0.45x + 0.05(14 + -1x) = 0.10(55)
0.45x + (14 * 0.05 + -1x * 0.05) = 0.10(55)
0.45x + (0.7 + -0.05x) = 0.10(55)

Reorder the terms:
0.7 + 0.45x + -0.05x = 0.10(55)

Combine like terms: 0.45x + -0.05x = 0.4x
0.7 + 0.4x = 0.10(55)

Multiply 0.10 * 55
0.7 + 0.4x = 5.5

Solving
0.7 + 0.4x = 5.5

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 + 0.4x = 5.5 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.4x = 5.5 + -0.7
0.4x = 5.5 + -0.7

Combine like terms: 5.5 + -0.7 = 4.8
0.4x = 4.8

Divide each side by '0.4'.
x = 12

Simplifying
x = 12

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