13-3(7x+3)=9x-8(x-9)

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Solution for 13-3(7x+3)=9x-8(x-9) equation:


Simplifying
13 + -3(7x + 3) = 9x + -8(x + -9)

Reorder the terms:
13 + -3(3 + 7x) = 9x + -8(x + -9)
13 + (3 * -3 + 7x * -3) = 9x + -8(x + -9)
13 + (-9 + -21x) = 9x + -8(x + -9)

Combine like terms: 13 + -9 = 4
4 + -21x = 9x + -8(x + -9)

Reorder the terms:
4 + -21x = 9x + -8(-9 + x)
4 + -21x = 9x + (-9 * -8 + x * -8)
4 + -21x = 9x + (72 + -8x)

Reorder the terms:
4 + -21x = 72 + 9x + -8x

Combine like terms: 9x + -8x = 1x
4 + -21x = 72 + 1x

Solving
4 + -21x = 72 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + -21x + -1x = 72 + 1x + -1x

Combine like terms: -21x + -1x = -22x
4 + -22x = 72 + 1x + -1x

Combine like terms: 1x + -1x = 0
4 + -22x = 72 + 0
4 + -22x = 72

Add '-4' to each side of the equation.
4 + -4 + -22x = 72 + -4

Combine like terms: 4 + -4 = 0
0 + -22x = 72 + -4
-22x = 72 + -4

Combine like terms: 72 + -4 = 68
-22x = 68

Divide each side by '-22'.
x = -3.090909091

Simplifying
x = -3.090909091

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