3(x-9)=-5x+13

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Solution for 3(x-9)=-5x+13 equation:


Simplifying
3(x + -9) = -5x + 13

Reorder the terms:
3(-9 + x) = -5x + 13
(-9 * 3 + x * 3) = -5x + 13
(-27 + 3x) = -5x + 13

Reorder the terms:
-27 + 3x = 13 + -5x

Solving
-27 + 3x = 13 + -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.
-27 + 3x + 5x = 13 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-27 + 8x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
-27 + 8x = 13 + 0
-27 + 8x = 13

Add '27' to each side of the equation.
-27 + 27 + 8x = 13 + 27

Combine like terms: -27 + 27 = 0
0 + 8x = 13 + 27
8x = 13 + 27

Combine like terms: 13 + 27 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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