100[0.06x+0.09(15-x)]=[0.07(15)]100

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Solution for 100[0.06x+0.09(15-x)]=[0.07(15)]100 equation: 


Simplifying
100[0.06x + 0.09(15 + -1x)] = [0.07(15)] * 100
100[0.06x + (15 * 0.09 + -1x * 0.09)] = [0.07(15)] * 100
100[0.06x + (1.35 + -0.09x)] = [0.07(15)] * 100

Reorder the terms:
100[1.35 + 0.06x + -0.09x] = [0.07(15)] * 100

Combine like terms: 0.06x + -0.09x = -0.03x
100[1.35 + -0.03x] = [0.07(15)] * 100
[1.35 * 100 + -0.03x * 100] = [0.07(15)] * 100
[135 + -3x] = [0.07(15)] * 100

Multiply 0.07 * 15
135 + -3x = [1.05] * 100

Multiply 1.05 * 100
135 + -3x = 105

Solving
135 + -3x = 105

Solving for variable 'x'.

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

Add '-135' to each side of the equation.
135 + -135 + -3x = 105 + -135

Combine like terms: 135 + -135 = 0
0 + -3x = 105 + -135
-3x = 105 + -135

Combine like terms: 105 + -135 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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