12(x-2)=7x+1

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Solution for 12(x-2)=7x+1 equation:


Simplifying
12(x + -2) = 7x + 1

Reorder the terms:
12(-2 + x) = 7x + 1
(-2 * 12 + x * 12) = 7x + 1
(-24 + 12x) = 7x + 1

Reorder the terms:
-24 + 12x = 1 + 7x

Solving
-24 + 12x = 1 + 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.
-24 + 12x + -7x = 1 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-24 + 5x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + 5x = 1 + 0
-24 + 5x = 1

Add '24' to each side of the equation.
-24 + 24 + 5x = 1 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 1 + 24
5x = 1 + 24

Combine like terms: 1 + 24 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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