3(x+8)-7(x+6)=2

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Solution for 3(x+8)-7(x+6)=2 equation: 


Simplifying
3(x + 8) + -7(x + 6) = 2

Reorder the terms:
3(8 + x) + -7(x + 6) = 2
(8 * 3 + x * 3) + -7(x + 6) = 2
(24 + 3x) + -7(x + 6) = 2

Reorder the terms:
24 + 3x + -7(6 + x) = 2
24 + 3x + (6 * -7 + x * -7) = 2
24 + 3x + (-42 + -7x) = 2

Reorder the terms:
24 + -42 + 3x + -7x = 2

Combine like terms: 24 + -42 = -18
-18 + 3x + -7x = 2

Combine like terms: 3x + -7x = -4x
-18 + -4x = 2

Solving
-18 + -4x = 2

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + -4x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + -4x = 2 + 18
-4x = 2 + 18

Combine like terms: 2 + 18 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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