100=x(10)+(5)(20)+(2)(30)

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Solution for 100=x(10)+(5)(20)+(2)(30) equation:


Simplifying
100 = x(10) + (5)(20) + (2)(30)

Reorder the terms for easier multiplication:
100 = 10x + (5)(20) + (2)(30)

Multiply 5 * 20
100 = 10x + 100 + (2)(30)

Multiply 2 * 30
100 = 10x + 100 + 60

Reorder the terms:
100 = 100 + 60 + 10x

Combine like terms: 100 + 60 = 160
100 = 160 + 10x

Solving
100 = 160 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
100 + -10x = 160 + 10x + -10x

Combine like terms: 10x + -10x = 0
100 + -10x = 160 + 0
100 + -10x = 160

Add '-100' to each side of the equation.
100 + -100 + -10x = 160 + -100

Combine like terms: 100 + -100 = 0
0 + -10x = 160 + -100
-10x = 160 + -100

Combine like terms: 160 + -100 = 60
-10x = 60

Divide each side by '-10'.
x = -6

Simplifying
x = -6

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