8x-2(x-5)=3(x+20)

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Solution for 8x-2(x-5)=3(x+20) equation:


Simplifying
8x + -2(x + -5) = 3(x + 20)

Reorder the terms:
8x + -2(-5 + x) = 3(x + 20)
8x + (-5 * -2 + x * -2) = 3(x + 20)
8x + (10 + -2x) = 3(x + 20)

Reorder the terms:
10 + 8x + -2x = 3(x + 20)

Combine like terms: 8x + -2x = 6x
10 + 6x = 3(x + 20)

Reorder the terms:
10 + 6x = 3(20 + x)
10 + 6x = (20 * 3 + x * 3)
10 + 6x = (60 + 3x)

Solving
10 + 6x = 60 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 6x + -3x = 60 + 3x + -3x

Combine like terms: 6x + -3x = 3x
10 + 3x = 60 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 3x = 60 + 0
10 + 3x = 60

Add '-10' to each side of the equation.
10 + -10 + 3x = 60 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 60 + -10
3x = 60 + -10

Combine like terms: 60 + -10 = 50
3x = 50

Divide each side by '3'.
x = 16.66666667

Simplifying
x = 16.66666667

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