4(2x-3)+4x=6(x+12)

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Solution for 4(2x-3)+4x=6(x+12) equation:


Simplifying
4(2x + -3) + 4x = 6(x + 12)

Reorder the terms:
4(-3 + 2x) + 4x = 6(x + 12)
(-3 * 4 + 2x * 4) + 4x = 6(x + 12)
(-12 + 8x) + 4x = 6(x + 12)

Combine like terms: 8x + 4x = 12x
-12 + 12x = 6(x + 12)

Reorder the terms:
-12 + 12x = 6(12 + x)
-12 + 12x = (12 * 6 + x * 6)
-12 + 12x = (72 + 6x)

Solving
-12 + 12x = 72 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 12x + -6x = 72 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-12 + 6x = 72 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 6x = 72 + 0
-12 + 6x = 72

Add '12' to each side of the equation.
-12 + 12 + 6x = 72 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 72 + 12
6x = 72 + 12

Combine like terms: 72 + 12 = 84
6x = 84

Divide each side by '6'.
x = 14

Simplifying
x = 14

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