0.70x+0.05(6-x)=0.10(120)

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Solution for 0.70x+0.05(6-x)=0.10(120) equation:


Simplifying
0.70x + 0.05(6 + -1x) = 0.10(120)
0.70x + (6 * 0.05 + -1x * 0.05) = 0.10(120)
0.70x + (0.3 + -0.05x) = 0.10(120)

Reorder the terms:
0.3 + 0.70x + -0.05x = 0.10(120)

Combine like terms: 0.70x + -0.05x = 0.65x
0.3 + 0.65x = 0.10(120)

Multiply 0.10 * 120
0.3 + 0.65x = 12

Solving
0.3 + 0.65x = 12

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.65x = 12 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.65x = 12 + -0.3
0.65x = 12 + -0.3

Combine like terms: 12 + -0.3 = 11.7
0.65x = 11.7

Divide each side by '0.65'.
x = 18

Simplifying
x = 18

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