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

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


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

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

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

Reorder the terms:
-4 + 6x = 15 + 7X + 12x

Solving
-4 + 6x = 15 + 7X + 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.
-4 + 6x + -12x = 15 + 7X + 12x + -12x

Combine like terms: 6x + -12x = -6x
-4 + -6x = 15 + 7X + 12x + -12x

Combine like terms: 12x + -12x = 0
-4 + -6x = 15 + 7X + 0
-4 + -6x = 15 + 7X

Add '4' to each side of the equation.
-4 + 4 + -6x = 15 + 4 + 7X

Combine like terms: -4 + 4 = 0
0 + -6x = 15 + 4 + 7X
-6x = 15 + 4 + 7X

Combine like terms: 15 + 4 = 19
-6x = 19 + 7X

Divide each side by '-6'.
x = -3.166666667 + -1.166666667X

Simplifying
x = -3.166666667 + -1.166666667X

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