# 3(x-4)=5(2-x)+2

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## Solution for 3(x-4)=5(2-x)+2 equation:

Simplifying
3(x + -4) = 5(2 + -1x) + 2
Reorder the terms:
3(-4 + x) = 5(2 + -1x) + 2
(-4 * 3 + x * 3) = 5(2 + -1x) + 2
(-12 + 3x) = 5(2 + -1x) + 2
-12 + 3x = (2 * 5 + -1x * 5) + 2
-12 + 3x = (10 + -5x) + 2
Reorder the terms:
-12 + 3x = 10 + 2 + -5x
Combine like terms: 10 + 2 = 12
-12 + 3x = 12 + -5x
Solving
-12 + 3x = 12 + -5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5x' to each side of the equation.
-12 + 3x + 5x = 12 + -5x + 5x
Combine like terms: 3x + 5x = 8x
-12 + 8x = 12 + -5x + 5x
Combine like terms: -5x + 5x = 0
-12 + 8x = 12 + 0
-12 + 8x = 12
Add '12' to each side of the equation.
-12 + 12 + 8x = 12 + 12
Combine like terms: -12 + 12 = 0
0 + 8x = 12 + 12
8x = 12 + 12
Combine like terms: 12 + 12 = 24
8x = 24
Divide each side by '8'.
x = 3
Simplifying
x = 3`

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