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

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


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

Reorder the terms:
6x + 3(-20 + x) = 62 + -1(x + 20)
6x + (-20 * 3 + x * 3) = 62 + -1(x + 20)
6x + (-60 + 3x) = 62 + -1(x + 20)

Reorder the terms:
-60 + 6x + 3x = 62 + -1(x + 20)

Combine like terms: 6x + 3x = 9x
-60 + 9x = 62 + -1(x + 20)

Reorder the terms:
-60 + 9x = 62 + -1(20 + x)
-60 + 9x = 62 + (20 * -1 + x * -1)
-60 + 9x = 62 + (-20 + -1x)

Combine like terms: 62 + -20 = 42
-60 + 9x = 42 + -1x

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

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
-60 + 10x = 42 + 0
-60 + 10x = 42

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

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

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

Divide each side by '10'.
x = 10.2

Simplifying
x = 10.2

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