5(3x+2)=3(x-5)-4

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Solution for 5(3x+2)=3(x-5)-4 equation: 


Simplifying
5(3x + 2) = 3(x + -5) + -4

Reorder the terms:
5(2 + 3x) = 3(x + -5) + -4
(2 * 5 + 3x * 5) = 3(x + -5) + -4
(10 + 15x) = 3(x + -5) + -4

Reorder the terms:
10 + 15x = 3(-5 + x) + -4
10 + 15x = (-5 * 3 + x * 3) + -4
10 + 15x = (-15 + 3x) + -4

Reorder the terms:
10 + 15x = -15 + -4 + 3x

Combine like terms: -15 + -4 = -19
10 + 15x = -19 + 3x

Solving
10 + 15x = -19 + 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.
10 + 15x + -3x = -19 + 3x + -3x

Combine like terms: 15x + -3x = 12x
10 + 12x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 12x = -19 + 0
10 + 12x = -19

Add '-10' to each side of the equation.
10 + -10 + 12x = -19 + -10

Combine like terms: 10 + -10 = 0
0 + 12x = -19 + -10
12x = -19 + -10

Combine like terms: -19 + -10 = -29
12x = -29

Divide each side by '12'.
x = -2.416666667

Simplifying
x = -2.416666667

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