20(x-4)+100=15(x+2)

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Solution for 20(x-4)+100=15(x+2) equation: 


Simplifying
20(x + -4) + 100 = 15(x + 2)

Reorder the terms:
20(-4 + x) + 100 = 15(x + 2)
(-4 * 20 + x * 20) + 100 = 15(x + 2)
(-80 + 20x) + 100 = 15(x + 2)

Reorder the terms:
-80 + 100 + 20x = 15(x + 2)

Combine like terms: -80 + 100 = 20
20 + 20x = 15(x + 2)

Reorder the terms:
20 + 20x = 15(2 + x)
20 + 20x = (2 * 15 + x * 15)
20 + 20x = (30 + 15x)

Solving
20 + 20x = 30 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
20 + 20x + -15x = 30 + 15x + -15x

Combine like terms: 20x + -15x = 5x
20 + 5x = 30 + 15x + -15x

Combine like terms: 15x + -15x = 0
20 + 5x = 30 + 0
20 + 5x = 30

Add '-20' to each side of the equation.
20 + -20 + 5x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 30 + -20
5x = 30 + -20

Combine like terms: 30 + -20 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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