-3(x+5)+6=5(x+4)+9

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Solution for -3(x+5)+6=5(x+4)+9 equation:


Simplifying
-3(x + 5) + 6 = 5(x + 4) + 9

Reorder the terms:
-3(5 + x) + 6 = 5(x + 4) + 9
(5 * -3 + x * -3) + 6 = 5(x + 4) + 9
(-15 + -3x) + 6 = 5(x + 4) + 9

Reorder the terms:
-15 + 6 + -3x = 5(x + 4) + 9

Combine like terms: -15 + 6 = -9
-9 + -3x = 5(x + 4) + 9

Reorder the terms:
-9 + -3x = 5(4 + x) + 9
-9 + -3x = (4 * 5 + x * 5) + 9
-9 + -3x = (20 + 5x) + 9

Reorder the terms:
-9 + -3x = 20 + 9 + 5x

Combine like terms: 20 + 9 = 29
-9 + -3x = 29 + 5x

Solving
-9 + -3x = 29 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-9 + -3x + -5x = 29 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-9 + -8x = 29 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -8x = 29 + 0
-9 + -8x = 29

Add '9' to each side of the equation.
-9 + 9 + -8x = 29 + 9

Combine like terms: -9 + 9 = 0
0 + -8x = 29 + 9
-8x = 29 + 9

Combine like terms: 29 + 9 = 38
-8x = 38

Divide each side by '-8'.
x = -4.75

Simplifying
x = -4.75

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