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

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


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

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

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

Combine like terms: -15 + -16 = -31
-31 + 3x = 2(x + -9) + 5

Reorder the terms:
-31 + 3x = 2(-9 + x) + 5
-31 + 3x = (-9 * 2 + x * 2) + 5
-31 + 3x = (-18 + 2x) + 5

Reorder the terms:
-31 + 3x = -18 + 5 + 2x

Combine like terms: -18 + 5 = -13
-31 + 3x = -13 + 2x

Solving
-31 + 3x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-31 + 3x + -2x = -13 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-31 + 1x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-31 + 1x = -13 + 0
-31 + 1x = -13

Add '31' to each side of the equation.
-31 + 31 + 1x = -13 + 31

Combine like terms: -31 + 31 = 0
0 + 1x = -13 + 31
1x = -13 + 31

Combine like terms: -13 + 31 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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