16x-8=5(3x+2)-2

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Solution for 16x-8=5(3x+2)-2 equation:


Simplifying
16x + -8 = 5(3x + 2) + -2

Reorder the terms:
-8 + 16x = 5(3x + 2) + -2

Reorder the terms:
-8 + 16x = 5(2 + 3x) + -2
-8 + 16x = (2 * 5 + 3x * 5) + -2
-8 + 16x = (10 + 15x) + -2

Reorder the terms:
-8 + 16x = 10 + -2 + 15x

Combine like terms: 10 + -2 = 8
-8 + 16x = 8 + 15x

Solving
-8 + 16x = 8 + 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.
-8 + 16x + -15x = 8 + 15x + -15x

Combine like terms: 16x + -15x = 1x
-8 + 1x = 8 + 15x + -15x

Combine like terms: 15x + -15x = 0
-8 + 1x = 8 + 0
-8 + 1x = 8

Add '8' to each side of the equation.
-8 + 8 + 1x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 8 + 8
1x = 8 + 8

Combine like terms: 8 + 8 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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