7(x-3)=12x-36

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Solution for 7(x-3)=12x-36 equation:


Simplifying
7(x + -3) = 12x + -36

Reorder the terms:
7(-3 + x) = 12x + -36
(-3 * 7 + x * 7) = 12x + -36
(-21 + 7x) = 12x + -36

Reorder the terms:
-21 + 7x = -36 + 12x

Solving
-21 + 7x = -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.
-21 + 7x + -12x = -36 + 12x + -12x

Combine like terms: 7x + -12x = -5x
-21 + -5x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-21 + -5x = -36 + 0
-21 + -5x = -36

Add '21' to each side of the equation.
-21 + 21 + -5x = -36 + 21

Combine like terms: -21 + 21 = 0
0 + -5x = -36 + 21
-5x = -36 + 21

Combine like terms: -36 + 21 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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