.11x+.04(770-x)=.06(770)

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Solution for .11x+.04(770-x)=.06(770) equation:


Simplifying
0.11x + 0.04(770 + -1x) = 0.06(770)
0.11x + (770 * 0.04 + -1x * 0.04) = 0.06(770)
0.11x + (30.8 + -0.04x) = 0.06(770)

Reorder the terms:
30.8 + 0.11x + -0.04x = 0.06(770)

Combine like terms: 0.11x + -0.04x = 0.07x
30.8 + 0.07x = 0.06(770)

Multiply 0.06 * 770
30.8 + 0.07x = 46.2

Solving
30.8 + 0.07x = 46.2

Solving for variable 'x'.

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

Add '-30.8' to each side of the equation.
30.8 + -30.8 + 0.07x = 46.2 + -30.8

Combine like terms: 30.8 + -30.8 = 0.0
0.0 + 0.07x = 46.2 + -30.8
0.07x = 46.2 + -30.8

Combine like terms: 46.2 + -30.8 = 15.4
0.07x = 15.4

Divide each side by '0.07'.
x = 220

Simplifying
x = 220

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