20+3x-8=19-(3x-17)

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Solution for 20+3x-8=19-(3x-17) equation:


Simplifying
20 + 3x + -8 = 19 + -1(3x + -17)

Reorder the terms:
20 + -8 + 3x = 19 + -1(3x + -17)

Combine like terms: 20 + -8 = 12
12 + 3x = 19 + -1(3x + -17)

Reorder the terms:
12 + 3x = 19 + -1(-17 + 3x)
12 + 3x = 19 + (-17 * -1 + 3x * -1)
12 + 3x = 19 + (17 + -3x)

Combine like terms: 19 + 17 = 36
12 + 3x = 36 + -3x

Solving
12 + 3x = 36 + -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.
12 + 3x + 3x = 36 + -3x + 3x

Combine like terms: 3x + 3x = 6x
12 + 6x = 36 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 6x = 36 + 0
12 + 6x = 36

Add '-12' to each side of the equation.
12 + -12 + 6x = 36 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 36 + -12
6x = 36 + -12

Combine like terms: 36 + -12 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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