100-8x+20=2(x+5)

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Solution for 100-8x+20=2(x+5) equation:


Simplifying
100 + -8x + 20 = 2(x + 5)

Reorder the terms:
100 + 20 + -8x = 2(x + 5)

Combine like terms: 100 + 20 = 120
120 + -8x = 2(x + 5)

Reorder the terms:
120 + -8x = 2(5 + x)
120 + -8x = (5 * 2 + x * 2)
120 + -8x = (10 + 2x)

Solving
120 + -8x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
120 + -8x + -2x = 10 + 2x + -2x

Combine like terms: -8x + -2x = -10x
120 + -10x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
120 + -10x = 10 + 0
120 + -10x = 10

Add '-120' to each side of the equation.
120 + -120 + -10x = 10 + -120

Combine like terms: 120 + -120 = 0
0 + -10x = 10 + -120
-10x = 10 + -120

Combine like terms: 10 + -120 = -110
-10x = -110

Divide each side by '-10'.
x = 11

Simplifying
x = 11

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