5(x-3)=4-(x+20)

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Solution for 5(x-3)=4-(x+20) equation:


Simplifying
5(x + -3) = 4 + -1(x + 20)

Reorder the terms:
5(-3 + x) = 4 + -1(x + 20)
(-3 * 5 + x * 5) = 4 + -1(x + 20)
(-15 + 5x) = 4 + -1(x + 20)

Reorder the terms:
-15 + 5x = 4 + -1(20 + x)
-15 + 5x = 4 + (20 * -1 + x * -1)
-15 + 5x = 4 + (-20 + -1x)

Combine like terms: 4 + -20 = -16
-15 + 5x = -16 + -1x

Solving
-15 + 5x = -16 + -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.
-15 + 5x + x = -16 + -1x + x

Combine like terms: 5x + x = 6x
-15 + 6x = -16 + -1x + x

Combine like terms: -1x + x = 0
-15 + 6x = -16 + 0
-15 + 6x = -16

Add '15' to each side of the equation.
-15 + 15 + 6x = -16 + 15

Combine like terms: -15 + 15 = 0
0 + 6x = -16 + 15
6x = -16 + 15

Combine like terms: -16 + 15 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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