16x-6=5(3x+3)-9

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Solution for 16x-6=5(3x+3)-9 equation:


Simplifying
16x + -6 = 5(3x + 3) + -9

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

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

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

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

Solving
-6 + 16x = 6 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-6 + 16x + -15x = 6 + 15x + -15x

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

Combine like terms: 15x + -15x = 0
-6 + 1x = 6 + 0
-6 + 1x = 6

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

Combine like terms: -6 + 6 = 0
0 + 1x = 6 + 6
1x = 6 + 6

Combine like terms: 6 + 6 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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