16(x-1)=12x+36

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Solution for 16(x-1)=12x+36 equation:


Simplifying
16(x + -1) = 12x + 36

Reorder the terms:
16(-1 + x) = 12x + 36
(-1 * 16 + x * 16) = 12x + 36
(-16 + 16x) = 12x + 36

Reorder the terms:
-16 + 16x = 36 + 12x

Solving
-16 + 16x = 36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-16 + 16x + -12x = 36 + 12x + -12x

Combine like terms: 16x + -12x = 4x
-16 + 4x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-16 + 4x = 36 + 0
-16 + 4x = 36

Add '16' to each side of the equation.
-16 + 16 + 4x = 36 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = 36 + 16
4x = 36 + 16

Combine like terms: 36 + 16 = 52
4x = 52

Divide each side by '4'.
x = 13

Simplifying
x = 13

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