.92x+.98(12-x)=(.96)(12)

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Solution for .92x+.98(12-x)=(.96)(12) equation:


Simplifying
0.92x + 0.98(12 + -1x) = (0.96)(12)
0.92x + (12 * 0.98 + -1x * 0.98) = (0.96)(12)
0.92x + (11.76 + -0.98x) = (0.96)(12)

Reorder the terms:
11.76 + 0.92x + -0.98x = (0.96)(12)

Combine like terms: 0.92x + -0.98x = -0.06x
11.76 + -0.06x = (0.96)(12)

Multiply 0.96 * 12
11.76 + -0.06x = 11.52

Solving
11.76 + -0.06x = 11.52

Solving for variable 'x'.

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

Add '-11.76' to each side of the equation.
11.76 + -11.76 + -0.06x = 11.52 + -11.76

Combine like terms: 11.76 + -11.76 = 0.00
0.00 + -0.06x = 11.52 + -11.76
-0.06x = 11.52 + -11.76

Combine like terms: 11.52 + -11.76 = -0.24
-0.06x = -0.24

Divide each side by '-0.06'.
x = 4

Simplifying
x = 4

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