3(x-4)-5x=4(x+12)

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Solution for 3(x-4)-5x=4(x+12) equation:


Simplifying
3(x + -4) + -5x = 4(x + 12)

Reorder the terms:
3(-4 + x) + -5x = 4(x + 12)
(-4 * 3 + x * 3) + -5x = 4(x + 12)
(-12 + 3x) + -5x = 4(x + 12)

Combine like terms: 3x + -5x = -2x
-12 + -2x = 4(x + 12)

Reorder the terms:
-12 + -2x = 4(12 + x)
-12 + -2x = (12 * 4 + x * 4)
-12 + -2x = (48 + 4x)

Solving
-12 + -2x = 48 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + -2x + -4x = 48 + 4x + -4x

Combine like terms: -2x + -4x = -6x
-12 + -6x = 48 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -6x = 48 + 0
-12 + -6x = 48

Add '12' to each side of the equation.
-12 + 12 + -6x = 48 + 12

Combine like terms: -12 + 12 = 0
0 + -6x = 48 + 12
-6x = 48 + 12

Combine like terms: 48 + 12 = 60
-6x = 60

Divide each side by '-6'.
x = -10

Simplifying
x = -10

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