52=3x-5(3x+4)

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Solution for 52=3x-5(3x+4) equation:


Simplifying
52 = 3x + -5(3x + 4)

Reorder the terms:
52 = 3x + -5(4 + 3x)
52 = 3x + (4 * -5 + 3x * -5)
52 = 3x + (-20 + -15x)

Reorder the terms:
52 = -20 + 3x + -15x

Combine like terms: 3x + -15x = -12x
52 = -20 + -12x

Solving
52 = -20 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
52 + 12x = -20 + -12x + 12x

Combine like terms: -12x + 12x = 0
52 + 12x = -20 + 0
52 + 12x = -20

Add '-52' to each side of the equation.
52 + -52 + 12x = -20 + -52

Combine like terms: 52 + -52 = 0
0 + 12x = -20 + -52
12x = -20 + -52

Combine like terms: -20 + -52 = -72
12x = -72

Divide each side by '12'.
x = -6

Simplifying
x = -6

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