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

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


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

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

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

Solving
-15 + 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.
-15 + 3x + -4x = 32 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-15 + -1x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + -1x = 32 + 0
-15 + -1x = 32

Add '15' to each side of the equation.
-15 + 15 + -1x = 32 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 32 + 15
-1x = 32 + 15

Combine like terms: 32 + 15 = 47
-1x = 47

Divide each side by '-1'.
x = -47

Simplifying
x = -47

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