5x-(20-2x)-9+8x=21-(3x-4)

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Solution for 5x-(20-2x)-9+8x=21-(3x-4) equation:


Simplifying
5x + -1(20 + -2x) + -9 + 8x = 21 + -1(3x + -4)
5x + (20 * -1 + -2x * -1) + -9 + 8x = 21 + -1(3x + -4)
5x + (-20 + 2x) + -9 + 8x = 21 + -1(3x + -4)

Reorder the terms:
-20 + -9 + 5x + 2x + 8x = 21 + -1(3x + -4)

Combine like terms: -20 + -9 = -29
-29 + 5x + 2x + 8x = 21 + -1(3x + -4)

Combine like terms: 5x + 2x = 7x
-29 + 7x + 8x = 21 + -1(3x + -4)

Combine like terms: 7x + 8x = 15x
-29 + 15x = 21 + -1(3x + -4)

Reorder the terms:
-29 + 15x = 21 + -1(-4 + 3x)
-29 + 15x = 21 + (-4 * -1 + 3x * -1)
-29 + 15x = 21 + (4 + -3x)

Combine like terms: 21 + 4 = 25
-29 + 15x = 25 + -3x

Solving
-29 + 15x = 25 + -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.
-29 + 15x + 3x = 25 + -3x + 3x

Combine like terms: 15x + 3x = 18x
-29 + 18x = 25 + -3x + 3x

Combine like terms: -3x + 3x = 0
-29 + 18x = 25 + 0
-29 + 18x = 25

Add '29' to each side of the equation.
-29 + 29 + 18x = 25 + 29

Combine like terms: -29 + 29 = 0
0 + 18x = 25 + 29
18x = 25 + 29

Combine like terms: 25 + 29 = 54
18x = 54

Divide each side by '18'.
x = 3

Simplifying
x = 3

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