8x+3(20-x)=5(20)

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Solution for 8x+3(20-x)=5(20) equation:


Simplifying
8x + 3(20 + -1x) = 5(20)
8x + (20 * 3 + -1x * 3) = 5(20)
8x + (60 + -3x) = 5(20)

Reorder the terms:
60 + 8x + -3x = 5(20)

Combine like terms: 8x + -3x = 5x
60 + 5x = 5(20)

Multiply 5 * 20
60 + 5x = 100

Solving
60 + 5x = 100

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 5x = 100 + -60

Combine like terms: 60 + -60 = 0
0 + 5x = 100 + -60
5x = 100 + -60

Combine like terms: 100 + -60 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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