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

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


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

Reorder the terms:
3(-6 + x) + -2(x + 4) = 5
(-6 * 3 + x * 3) + -2(x + 4) = 5
(-18 + 3x) + -2(x + 4) = 5

Reorder the terms:
-18 + 3x + -2(4 + x) = 5
-18 + 3x + (4 * -2 + x * -2) = 5
-18 + 3x + (-8 + -2x) = 5

Reorder the terms:
-18 + -8 + 3x + -2x = 5

Combine like terms: -18 + -8 = -26
-26 + 3x + -2x = 5

Combine like terms: 3x + -2x = 1x
-26 + 1x = 5

Solving
-26 + 1x = 5

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 1x = 5 + 26

Combine like terms: -26 + 26 = 0
0 + 1x = 5 + 26
1x = 5 + 26

Combine like terms: 5 + 26 = 31
1x = 31

Divide each side by '1'.
x = 31

Simplifying
x = 31

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