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

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


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

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

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

Combine like terms: 15 + 6 = 21
21 + -5x = 5x + -9

Reorder the terms:
21 + -5x = -9 + 5x

Solving
21 + -5x = -9 + 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.
21 + -5x + -5x = -9 + 5x + -5x

Combine like terms: -5x + -5x = -10x
21 + -10x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -10x = -9 + 0
21 + -10x = -9

Add '-21' to each side of the equation.
21 + -21 + -10x = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -10x = -9 + -21
-10x = -9 + -21

Combine like terms: -9 + -21 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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