8(3x-1)-4(x-8)=-36

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Solution for 8(3x-1)-4(x-8)=-36 equation:


Simplifying
8(3x + -1) + -4(x + -8) = -36

Reorder the terms:
8(-1 + 3x) + -4(x + -8) = -36
(-1 * 8 + 3x * 8) + -4(x + -8) = -36
(-8 + 24x) + -4(x + -8) = -36

Reorder the terms:
-8 + 24x + -4(-8 + x) = -36
-8 + 24x + (-8 * -4 + x * -4) = -36
-8 + 24x + (32 + -4x) = -36

Reorder the terms:
-8 + 32 + 24x + -4x = -36

Combine like terms: -8 + 32 = 24
24 + 24x + -4x = -36

Combine like terms: 24x + -4x = 20x
24 + 20x = -36

Solving
24 + 20x = -36

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 20x = -36 + -24

Combine like terms: 24 + -24 = 0
0 + 20x = -36 + -24
20x = -36 + -24

Combine like terms: -36 + -24 = -60
20x = -60

Divide each side by '20'.
x = -3

Simplifying
x = -3

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