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

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


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

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

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

Solving
9 + 3x = -32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 3x + -4x = -32 + 4x + -4x

Combine like terms: 3x + -4x = -1x
9 + -1x = -32 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -1x = -32 + 0
9 + -1x = -32

Add '-9' to each side of the equation.
9 + -9 + -1x = -32 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -32 + -9
-1x = -32 + -9

Combine like terms: -32 + -9 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41

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