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

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


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

Reorder the terms:
3 + -8(-5 + 2x) = 9x + -5(x + 4)
3 + (-5 * -8 + 2x * -8) = 9x + -5(x + 4)
3 + (40 + -16x) = 9x + -5(x + 4)

Combine like terms: 3 + 40 = 43
43 + -16x = 9x + -5(x + 4)

Reorder the terms:
43 + -16x = 9x + -5(4 + x)
43 + -16x = 9x + (4 * -5 + x * -5)
43 + -16x = 9x + (-20 + -5x)

Reorder the terms:
43 + -16x = -20 + 9x + -5x

Combine like terms: 9x + -5x = 4x
43 + -16x = -20 + 4x

Solving
43 + -16x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
43 + -16x + -4x = -20 + 4x + -4x

Combine like terms: -16x + -4x = -20x
43 + -20x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
43 + -20x = -20 + 0
43 + -20x = -20

Add '-43' to each side of the equation.
43 + -43 + -20x = -20 + -43

Combine like terms: 43 + -43 = 0
0 + -20x = -20 + -43
-20x = -20 + -43

Combine like terms: -20 + -43 = -63
-20x = -63

Divide each side by '-20'.
x = 3.15

Simplifying
x = 3.15

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