0.30x+0.05(14-x)=0.10(22)

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Solution for 0.30x+0.05(14-x)=0.10(22) equation:


Simplifying
0.30x + 0.05(14 + -1x) = 0.10(22)
0.30x + (14 * 0.05 + -1x * 0.05) = 0.10(22)
0.30x + (0.7 + -0.05x) = 0.10(22)

Reorder the terms:
0.7 + 0.30x + -0.05x = 0.10(22)

Combine like terms: 0.30x + -0.05x = 0.25x
0.7 + 0.25x = 0.10(22)

Multiply 0.10 * 22
0.7 + 0.25x = 2.2

Solving
0.7 + 0.25x = 2.2

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 + 0.25x = 2.2 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.25x = 2.2 + -0.7
0.25x = 2.2 + -0.7

Combine like terms: 2.2 + -0.7 = 1.5
0.25x = 1.5

Divide each side by '0.25'.
x = 6

Simplifying
x = 6

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