4(x-2)+3(x+8)=-33

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Solution for 4(x-2)+3(x+8)=-33 equation: 


Simplifying
4(x + -2) + 3(x + 8) = -33

Reorder the terms:
4(-2 + x) + 3(x + 8) = -33
(-2 * 4 + x * 4) + 3(x + 8) = -33
(-8 + 4x) + 3(x + 8) = -33

Reorder the terms:
-8 + 4x + 3(8 + x) = -33
-8 + 4x + (8 * 3 + x * 3) = -33
-8 + 4x + (24 + 3x) = -33

Reorder the terms:
-8 + 24 + 4x + 3x = -33

Combine like terms: -8 + 24 = 16
16 + 4x + 3x = -33

Combine like terms: 4x + 3x = 7x
16 + 7x = -33

Solving
16 + 7x = -33

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 7x = -33 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = -33 + -16
7x = -33 + -16

Combine like terms: -33 + -16 = -49
7x = -49

Divide each side by '7'.
x = -7

Simplifying
x = -7

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