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

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


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

Reorder the terms:
4(-4 + 3x) = 3(x + 7)
(-4 * 4 + 3x * 4) = 3(x + 7)
(-16 + 12x) = 3(x + 7)

Reorder the terms:
-16 + 12x = 3(7 + x)
-16 + 12x = (7 * 3 + x * 3)
-16 + 12x = (21 + 3x)

Solving
-16 + 12x = 21 + 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.
-16 + 12x + -3x = 21 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-16 + 9x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 9x = 21 + 0
-16 + 9x = 21

Add '16' to each side of the equation.
-16 + 16 + 9x = 21 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 21 + 16
9x = 21 + 16

Combine like terms: 21 + 16 = 37
9x = 37

Divide each side by '9'.
x = 4.111111111

Simplifying
x = 4.111111111

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