3(2x-7)-(x+5)=-6

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Solution for 3(2x-7)-(x+5)=-6 equation: 


Simplifying
3(2x + -7) + -1(x + 5) = -6

Reorder the terms:
3(-7 + 2x) + -1(x + 5) = -6
(-7 * 3 + 2x * 3) + -1(x + 5) = -6
(-21 + 6x) + -1(x + 5) = -6

Reorder the terms:
-21 + 6x + -1(5 + x) = -6
-21 + 6x + (5 * -1 + x * -1) = -6
-21 + 6x + (-5 + -1x) = -6

Reorder the terms:
-21 + -5 + 6x + -1x = -6

Combine like terms: -21 + -5 = -26
-26 + 6x + -1x = -6

Combine like terms: 6x + -1x = 5x
-26 + 5x = -6

Solving
-26 + 5x = -6

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 + 5x = -6 + 26

Combine like terms: -26 + 26 = 0
0 + 5x = -6 + 26
5x = -6 + 26

Combine like terms: -6 + 26 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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