2(3x+5)-3(4x+6)=34

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Solution for 2(3x+5)-3(4x+6)=34 equation: 


Simplifying
2(3x + 5) + -3(4x + 6) = 34

Reorder the terms:
2(5 + 3x) + -3(4x + 6) = 34
(5 * 2 + 3x * 2) + -3(4x + 6) = 34
(10 + 6x) + -3(4x + 6) = 34

Reorder the terms:
10 + 6x + -3(6 + 4x) = 34
10 + 6x + (6 * -3 + 4x * -3) = 34
10 + 6x + (-18 + -12x) = 34

Reorder the terms:
10 + -18 + 6x + -12x = 34

Combine like terms: 10 + -18 = -8
-8 + 6x + -12x = 34

Combine like terms: 6x + -12x = -6x
-8 + -6x = 34

Solving
-8 + -6x = 34

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -6x = 34 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = 34 + 8
-6x = 34 + 8

Combine like terms: 34 + 8 = 42
-6x = 42

Divide each side by '-6'.
x = -7

Simplifying
x = -7

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