16x-2=5(3x+3)-13

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Solution for 16x-2=5(3x+3)-13 equation:


Simplifying
16x + -2 = 5(3x + 3) + -13

Reorder the terms:
-2 + 16x = 5(3x + 3) + -13

Reorder the terms:
-2 + 16x = 5(3 + 3x) + -13
-2 + 16x = (3 * 5 + 3x * 5) + -13
-2 + 16x = (15 + 15x) + -13

Reorder the terms:
-2 + 16x = 15 + -13 + 15x

Combine like terms: 15 + -13 = 2
-2 + 16x = 2 + 15x

Solving
-2 + 16x = 2 + 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.
-2 + 16x + -15x = 2 + 15x + -15x

Combine like terms: 16x + -15x = 1x
-2 + 1x = 2 + 15x + -15x

Combine like terms: 15x + -15x = 0
-2 + 1x = 2 + 0
-2 + 1x = 2

Add '2' to each side of the equation.
-2 + 2 + 1x = 2 + 2

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

Combine like terms: 2 + 2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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