9(x-4)-(8x+5)=-4

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Solution for 9(x-4)-(8x+5)=-4 equation:


Simplifying
9(x + -4) + -1(8x + 5) = -4

Reorder the terms:
9(-4 + x) + -1(8x + 5) = -4
(-4 * 9 + x * 9) + -1(8x + 5) = -4
(-36 + 9x) + -1(8x + 5) = -4

Reorder the terms:
-36 + 9x + -1(5 + 8x) = -4
-36 + 9x + (5 * -1 + 8x * -1) = -4
-36 + 9x + (-5 + -8x) = -4

Reorder the terms:
-36 + -5 + 9x + -8x = -4

Combine like terms: -36 + -5 = -41
-41 + 9x + -8x = -4

Combine like terms: 9x + -8x = 1x
-41 + 1x = -4

Solving
-41 + 1x = -4

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + 1x = -4 + 41

Combine like terms: -41 + 41 = 0
0 + 1x = -4 + 41
1x = -4 + 41

Combine like terms: -4 + 41 = 37
1x = 37

Divide each side by '1'.
x = 37

Simplifying
x = 37

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