(3x+2)*2-3*(4x-7)=5

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Solution for (3x+2)*2-3*(4x-7)=5 equation: 


Simplifying
(3x + 2) * 2 + -3(4x + -7) = 5

Reorder the terms:
(2 + 3x) * 2 + -3(4x + -7) = 5

Reorder the terms for easier multiplication:
2(2 + 3x) + -3(4x + -7) = 5
(2 * 2 + 3x * 2) + -3(4x + -7) = 5
(4 + 6x) + -3(4x + -7) = 5

Reorder the terms:
4 + 6x + -3(-7 + 4x) = 5
4 + 6x + (-7 * -3 + 4x * -3) = 5
4 + 6x + (21 + -12x) = 5

Reorder the terms:
4 + 21 + 6x + -12x = 5

Combine like terms: 4 + 21 = 25
25 + 6x + -12x = 5

Combine like terms: 6x + -12x = -6x
25 + -6x = 5

Solving
25 + -6x = 5

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + -6x = 5 + -25

Combine like terms: 25 + -25 = 0
0 + -6x = 5 + -25
-6x = 5 + -25

Combine like terms: 5 + -25 = -20
-6x = -20

Divide each side by '-6'.
x = 3.333333333

Simplifying
x = 3.333333333

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