7(x-12)=3(x+4)

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Solution for 7(x-12)=3(x+4) equation:


Simplifying
7(x + -12) = 3(x + 4)

Reorder the terms:
7(-12 + x) = 3(x + 4)
(-12 * 7 + x * 7) = 3(x + 4)
(-84 + 7x) = 3(x + 4)

Reorder the terms:
-84 + 7x = 3(4 + x)
-84 + 7x = (4 * 3 + x * 3)
-84 + 7x = (12 + 3x)

Solving
-84 + 7x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-84 + 7x + -3x = 12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-84 + 4x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-84 + 4x = 12 + 0
-84 + 4x = 12

Add '84' to each side of the equation.
-84 + 84 + 4x = 12 + 84

Combine like terms: -84 + 84 = 0
0 + 4x = 12 + 84
4x = 12 + 84

Combine like terms: 12 + 84 = 96
4x = 96

Divide each side by '4'.
x = 24

Simplifying
x = 24

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