8(x-4)-4(x-3)=33

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Solution for 8(x-4)-4(x-3)=33 equation: 


Simplifying
8(x + -4) + -4(x + -3) = 33

Reorder the terms:
8(-4 + x) + -4(x + -3) = 33
(-4 * 8 + x * 8) + -4(x + -3) = 33
(-32 + 8x) + -4(x + -3) = 33

Reorder the terms:
-32 + 8x + -4(-3 + x) = 33
-32 + 8x + (-3 * -4 + x * -4) = 33
-32 + 8x + (12 + -4x) = 33

Reorder the terms:
-32 + 12 + 8x + -4x = 33

Combine like terms: -32 + 12 = -20
-20 + 8x + -4x = 33

Combine like terms: 8x + -4x = 4x
-20 + 4x = 33

Solving
-20 + 4x = 33

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 4x = 33 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 33 + 20
4x = 33 + 20

Combine like terms: 33 + 20 = 53
4x = 53

Divide each side by '4'.
x = 13.25

Simplifying
x = 13.25

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