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

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


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

Reorder the terms:
2(2 + 3x) = 3(x + -4) + 5
(2 * 2 + 3x * 2) = 3(x + -4) + 5
(4 + 6x) = 3(x + -4) + 5

Reorder the terms:
4 + 6x = 3(-4 + x) + 5
4 + 6x = (-4 * 3 + x * 3) + 5
4 + 6x = (-12 + 3x) + 5

Reorder the terms:
4 + 6x = -12 + 5 + 3x

Combine like terms: -12 + 5 = -7
4 + 6x = -7 + 3x

Solving
4 + 6x = -7 + 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.
4 + 6x + -3x = -7 + 3x + -3x

Combine like terms: 6x + -3x = 3x
4 + 3x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 3x = -7 + 0
4 + 3x = -7

Add '-4' to each side of the equation.
4 + -4 + 3x = -7 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = -7 + -4
3x = -7 + -4

Combine like terms: -7 + -4 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

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