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

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


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

Reorder the terms:
3(-4 + x) + -9 = -5(x + -2)
(-4 * 3 + x * 3) + -9 = -5(x + -2)
(-12 + 3x) + -9 = -5(x + -2)

Reorder the terms:
-12 + -9 + 3x = -5(x + -2)

Combine like terms: -12 + -9 = -21
-21 + 3x = -5(x + -2)

Reorder the terms:
-21 + 3x = -5(-2 + x)
-21 + 3x = (-2 * -5 + x * -5)
-21 + 3x = (10 + -5x)

Solving
-21 + 3x = 10 + -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 + 3x + 5x = 10 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-21 + 8x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-21 + 8x = 10 + 0
-21 + 8x = 10

Add '21' to each side of the equation.
-21 + 21 + 8x = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 8x = 10 + 21
8x = 10 + 21

Combine like terms: 10 + 21 = 31
8x = 31

Divide each side by '8'.
x = 3.875

Simplifying
x = 3.875

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