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

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


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

Reorder the terms:
4(2 + 3x) + 3 = 3(2x + -5) + 2
(2 * 4 + 3x * 4) + 3 = 3(2x + -5) + 2
(8 + 12x) + 3 = 3(2x + -5) + 2

Reorder the terms:
8 + 3 + 12x = 3(2x + -5) + 2

Combine like terms: 8 + 3 = 11
11 + 12x = 3(2x + -5) + 2

Reorder the terms:
11 + 12x = 3(-5 + 2x) + 2
11 + 12x = (-5 * 3 + 2x * 3) + 2
11 + 12x = (-15 + 6x) + 2

Reorder the terms:
11 + 12x = -15 + 2 + 6x

Combine like terms: -15 + 2 = -13
11 + 12x = -13 + 6x

Solving
11 + 12x = -13 + 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.
11 + 12x + -6x = -13 + 6x + -6x

Combine like terms: 12x + -6x = 6x
11 + 6x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + 6x = -13 + 0
11 + 6x = -13

Add '-11' to each side of the equation.
11 + -11 + 6x = -13 + -11

Combine like terms: 11 + -11 = 0
0 + 6x = -13 + -11
6x = -13 + -11

Combine like terms: -13 + -11 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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