3(7x-8)-(3x-6)=36

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Solution for 3(7x-8)-(3x-6)=36 equation:


Simplifying
3(7x + -8) + -1(3x + -6) = 36

Reorder the terms:
3(-8 + 7x) + -1(3x + -6) = 36
(-8 * 3 + 7x * 3) + -1(3x + -6) = 36
(-24 + 21x) + -1(3x + -6) = 36

Reorder the terms:
-24 + 21x + -1(-6 + 3x) = 36
-24 + 21x + (-6 * -1 + 3x * -1) = 36
-24 + 21x + (6 + -3x) = 36

Reorder the terms:
-24 + 6 + 21x + -3x = 36

Combine like terms: -24 + 6 = -18
-18 + 21x + -3x = 36

Combine like terms: 21x + -3x = 18x
-18 + 18x = 36

Solving
-18 + 18x = 36

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 + 18x = 36 + 18

Combine like terms: -18 + 18 = 0
0 + 18x = 36 + 18
18x = 36 + 18

Combine like terms: 36 + 18 = 54
18x = 54

Divide each side by '18'.
x = 3

Simplifying
x = 3

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