(3x+5)-(9x+12)=3-2(6x-5)

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Solution for (3x+5)-(9x+12)=3-2(6x-5) equation:


Simplifying
(3x + 5) + -1(9x + 12) = 3 + -2(6x + -5)

Reorder the terms:
(5 + 3x) + -1(9x + 12) = 3 + -2(6x + -5)

Remove parenthesis around (5 + 3x)
5 + 3x + -1(9x + 12) = 3 + -2(6x + -5)

Reorder the terms:
5 + 3x + -1(12 + 9x) = 3 + -2(6x + -5)
5 + 3x + (12 * -1 + 9x * -1) = 3 + -2(6x + -5)
5 + 3x + (-12 + -9x) = 3 + -2(6x + -5)

Reorder the terms:
5 + -12 + 3x + -9x = 3 + -2(6x + -5)

Combine like terms: 5 + -12 = -7
-7 + 3x + -9x = 3 + -2(6x + -5)

Combine like terms: 3x + -9x = -6x
-7 + -6x = 3 + -2(6x + -5)

Reorder the terms:
-7 + -6x = 3 + -2(-5 + 6x)
-7 + -6x = 3 + (-5 * -2 + 6x * -2)
-7 + -6x = 3 + (10 + -12x)

Combine like terms: 3 + 10 = 13
-7 + -6x = 13 + -12x

Solving
-7 + -6x = 13 + -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.
-7 + -6x + 12x = 13 + -12x + 12x

Combine like terms: -6x + 12x = 6x
-7 + 6x = 13 + -12x + 12x

Combine like terms: -12x + 12x = 0
-7 + 6x = 13 + 0
-7 + 6x = 13

Add '7' to each side of the equation.
-7 + 7 + 6x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 13 + 7
6x = 13 + 7

Combine like terms: 13 + 7 = 20
6x = 20

Divide each side by '6'.
x = 3.333333333

Simplifying
x = 3.333333333

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