3(4x-5)+6x=9-2(3x-7)

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Solution for 3(4x-5)+6x=9-2(3x-7) equation: 


Simplifying
3(4x + -5) + 6x = 9 + -2(3x + -7)

Reorder the terms:
3(-5 + 4x) + 6x = 9 + -2(3x + -7)
(-5 * 3 + 4x * 3) + 6x = 9 + -2(3x + -7)
(-15 + 12x) + 6x = 9 + -2(3x + -7)

Combine like terms: 12x + 6x = 18x
-15 + 18x = 9 + -2(3x + -7)

Reorder the terms:
-15 + 18x = 9 + -2(-7 + 3x)
-15 + 18x = 9 + (-7 * -2 + 3x * -2)
-15 + 18x = 9 + (14 + -6x)

Combine like terms: 9 + 14 = 23
-15 + 18x = 23 + -6x

Solving
-15 + 18x = 23 + -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.
-15 + 18x + 6x = 23 + -6x + 6x

Combine like terms: 18x + 6x = 24x
-15 + 24x = 23 + -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + 24x = 23 + 0
-15 + 24x = 23

Add '15' to each side of the equation.
-15 + 15 + 24x = 23 + 15

Combine like terms: -15 + 15 = 0
0 + 24x = 23 + 15
24x = 23 + 15

Combine like terms: 23 + 15 = 38
24x = 38

Divide each side by '24'.
x = 1.583333333

Simplifying
x = 1.583333333

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