12(x-1)=7x+28

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Solution for 12(x-1)=7x+28 equation:


Simplifying
12(x + -1) = 7x + 28

Reorder the terms:
12(-1 + x) = 7x + 28
(-1 * 12 + x * 12) = 7x + 28
(-12 + 12x) = 7x + 28

Reorder the terms:
-12 + 12x = 28 + 7x

Solving
-12 + 12x = 28 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-12 + 12x + -7x = 28 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-12 + 5x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + 5x = 28 + 0
-12 + 5x = 28

Add '12' to each side of the equation.
-12 + 12 + 5x = 28 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 28 + 12
5x = 28 + 12

Combine like terms: 28 + 12 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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