3(2x-5)+16=x-9

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Solution for 3(2x-5)+16=x-9 equation:


Simplifying
3(2x + -5) + 16 = x + -9

Reorder the terms:
3(-5 + 2x) + 16 = x + -9
(-5 * 3 + 2x * 3) + 16 = x + -9
(-15 + 6x) + 16 = x + -9

Reorder the terms:
-15 + 16 + 6x = x + -9

Combine like terms: -15 + 16 = 1
1 + 6x = x + -9

Reorder the terms:
1 + 6x = -9 + x

Solving
1 + 6x = -9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 6x + -1x = -9 + x + -1x

Combine like terms: 6x + -1x = 5x
1 + 5x = -9 + x + -1x

Combine like terms: x + -1x = 0
1 + 5x = -9 + 0
1 + 5x = -9

Add '-1' to each side of the equation.
1 + -1 + 5x = -9 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = -9 + -1
5x = -9 + -1

Combine like terms: -9 + -1 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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