4(x-8)-3(5+3x)=8

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Solution for 4(x-8)-3(5+3x)=8 equation: 


Simplifying
4(x + -8) + -3(5 + 3x) = 8

Reorder the terms:
4(-8 + x) + -3(5 + 3x) = 8
(-8 * 4 + x * 4) + -3(5 + 3x) = 8
(-32 + 4x) + -3(5 + 3x) = 8
-32 + 4x + (5 * -3 + 3x * -3) = 8
-32 + 4x + (-15 + -9x) = 8

Reorder the terms:
-32 + -15 + 4x + -9x = 8

Combine like terms: -32 + -15 = -47
-47 + 4x + -9x = 8

Combine like terms: 4x + -9x = -5x
-47 + -5x = 8

Solving
-47 + -5x = 8

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 47 + -5x = 8 + 47

Combine like terms: -47 + 47 = 0
0 + -5x = 8 + 47
-5x = 8 + 47

Combine like terms: 8 + 47 = 55
-5x = 55

Divide each side by '-5'.
x = -11

Simplifying
x = -11

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