100(0.09+0.02(100))=100(0.07(x+100))

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Solution for 100(0.09+0.02(100))=100(0.07(x+100)) equation: 


Simplifying
100(0.09 + 0.02(100)) = 100(0.07(x + 100))

Multiply 0.02 * 100
100(0.09 + 2) = 100(0.07(x + 100))

Combine like terms: 0.09 + 2 = 2.09
100(2.09) = 100(0.07(x + 100))

Multiply 100 * 2.09
209 = 100(0.07(x + 100))

Reorder the terms:
209 = 100(0.07(100 + x))
209 = 100((100 * 0.07 + x * 0.07))
209 = 100((7 + 0.07x))
209 = (7 * 100 + 0.07x * 100)
209 = (700 + 7x)

Solving
209 = 700 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
209 + -7x = 700 + 7x + -7x

Combine like terms: 7x + -7x = 0
209 + -7x = 700 + 0
209 + -7x = 700

Add '-209' to each side of the equation.
209 + -209 + -7x = 700 + -209

Combine like terms: 209 + -209 = 0
0 + -7x = 700 + -209
-7x = 700 + -209

Combine like terms: 700 + -209 = 491
-7x = 491

Divide each side by '-7'.
x = -70.14285714

Simplifying
x = -70.14285714

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