3(x-1)=(-x+20)

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Solution for 3(x-1)=(-x+20) equation:


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

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

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

Remove parenthesis around (20 + -1x)
-3 + 3x = 20 + -1x

Solving
-3 + 3x = 20 + -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.
-3 + 3x + x = 20 + -1x + x

Combine like terms: 3x + x = 4x
-3 + 4x = 20 + -1x + x

Combine like terms: -1x + x = 0
-3 + 4x = 20 + 0
-3 + 4x = 20

Add '3' to each side of the equation.
-3 + 3 + 4x = 20 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 20 + 3
4x = 20 + 3

Combine like terms: 20 + 3 = 23
4x = 23

Divide each side by '4'.
x = 5.75

Simplifying
x = 5.75

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