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

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


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

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

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

Combine like terms: -5x + 3x = -2x
-15 + -2x = 6x + 9

Reorder the terms:
-15 + -2x = 9 + 6x

Solving
-15 + -2x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-15 + -2x + -6x = 9 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-15 + -8x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -8x = 9 + 0
-15 + -8x = 9

Add '15' to each side of the equation.
-15 + 15 + -8x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + -8x = 9 + 15
-8x = 9 + 15

Combine like terms: 9 + 15 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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