3(x-8)=4(x+2)-7x

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Solution for 3(x-8)=4(x+2)-7x equation: 


Simplifying
3(x + -8) = 4(x + 2) + -7x

Reorder the terms:
3(-8 + x) = 4(x + 2) + -7x
(-8 * 3 + x * 3) = 4(x + 2) + -7x
(-24 + 3x) = 4(x + 2) + -7x

Reorder the terms:
-24 + 3x = 4(2 + x) + -7x
-24 + 3x = (2 * 4 + x * 4) + -7x
-24 + 3x = (8 + 4x) + -7x

Combine like terms: 4x + -7x = -3x
-24 + 3x = 8 + -3x

Solving
-24 + 3x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-24 + 3x + 3x = 8 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-24 + 6x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-24 + 6x = 8 + 0
-24 + 6x = 8

Add '24' to each side of the equation.
-24 + 24 + 6x = 8 + 24

Combine like terms: -24 + 24 = 0
0 + 6x = 8 + 24
6x = 8 + 24

Combine like terms: 8 + 24 = 32
6x = 32

Divide each side by '6'.
x = 5.333333333

Simplifying
x = 5.333333333

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