3(-4x-3)+4(5x-6)=41

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Solution for 3(-4x-3)+4(5x-6)=41 equation: 


Simplifying
3(-4x + -3) + 4(5x + -6) = 41

Reorder the terms:
3(-3 + -4x) + 4(5x + -6) = 41
(-3 * 3 + -4x * 3) + 4(5x + -6) = 41
(-9 + -12x) + 4(5x + -6) = 41

Reorder the terms:
-9 + -12x + 4(-6 + 5x) = 41
-9 + -12x + (-6 * 4 + 5x * 4) = 41
-9 + -12x + (-24 + 20x) = 41

Reorder the terms:
-9 + -24 + -12x + 20x = 41

Combine like terms: -9 + -24 = -33
-33 + -12x + 20x = 41

Combine like terms: -12x + 20x = 8x
-33 + 8x = 41

Solving
-33 + 8x = 41

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 33 + 8x = 41 + 33

Combine like terms: -33 + 33 = 0
0 + 8x = 41 + 33
8x = 41 + 33

Combine like terms: 41 + 33 = 74
8x = 74

Divide each side by '8'.
x = 9.25

Simplifying
x = 9.25

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