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

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


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

Reorder the terms:
4(4 + 3x) = 3(x + -5) + -5
(4 * 4 + 3x * 4) = 3(x + -5) + -5
(16 + 12x) = 3(x + -5) + -5

Reorder the terms:
16 + 12x = 3(-5 + x) + -5
16 + 12x = (-5 * 3 + x * 3) + -5
16 + 12x = (-15 + 3x) + -5

Reorder the terms:
16 + 12x = -15 + -5 + 3x

Combine like terms: -15 + -5 = -20
16 + 12x = -20 + 3x

Solving
16 + 12x = -20 + 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 = -20 + 3x + -3x

Combine like terms: 12x + -3x = 9x
16 + 9x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 9x = -20 + 0
16 + 9x = -20

Add '-16' to each side of the equation.
16 + -16 + 9x = -20 + -16

Combine like terms: 16 + -16 = 0
0 + 9x = -20 + -16
9x = -20 + -16

Combine like terms: -20 + -16 = -36
9x = -36

Divide each side by '9'.
x = -4

Simplifying
x = -4

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