62-(x+20)=6x+3(x-20)

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Solution for 62-(x+20)=6x+3(x-20) equation: 


Simplifying
62 + -1(x + 20) = 6x + 3(x + -20)

Reorder the terms:
62 + -1(20 + x) = 6x + 3(x + -20)
62 + (20 * -1 + x * -1) = 6x + 3(x + -20)
62 + (-20 + -1x) = 6x + 3(x + -20)

Combine like terms: 62 + -20 = 42
42 + -1x = 6x + 3(x + -20)

Reorder the terms:
42 + -1x = 6x + 3(-20 + x)
42 + -1x = 6x + (-20 * 3 + x * 3)
42 + -1x = 6x + (-60 + 3x)

Reorder the terms:
42 + -1x = -60 + 6x + 3x

Combine like terms: 6x + 3x = 9x
42 + -1x = -60 + 9x

Solving
42 + -1x = -60 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
42 + -1x + -9x = -60 + 9x + -9x

Combine like terms: -1x + -9x = -10x
42 + -10x = -60 + 9x + -9x

Combine like terms: 9x + -9x = 0
42 + -10x = -60 + 0
42 + -10x = -60

Add '-42' to each side of the equation.
42 + -42 + -10x = -60 + -42

Combine like terms: 42 + -42 = 0
0 + -10x = -60 + -42
-10x = -60 + -42

Combine like terms: -60 + -42 = -102
-10x = -102

Divide each side by '-10'.
x = 10.2

Simplifying
x = 10.2

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