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

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


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

Reorder the terms:
3 + 8(-4 + x) = 2 + -3(x + -8)
3 + (-4 * 8 + x * 8) = 2 + -3(x + -8)
3 + (-32 + 8x) = 2 + -3(x + -8)

Combine like terms: 3 + -32 = -29
-29 + 8x = 2 + -3(x + -8)

Reorder the terms:
-29 + 8x = 2 + -3(-8 + x)
-29 + 8x = 2 + (-8 * -3 + x * -3)
-29 + 8x = 2 + (24 + -3x)

Combine like terms: 2 + 24 = 26
-29 + 8x = 26 + -3x

Solving
-29 + 8x = 26 + -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.
-29 + 8x + 3x = 26 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-29 + 11x = 26 + -3x + 3x

Combine like terms: -3x + 3x = 0
-29 + 11x = 26 + 0
-29 + 11x = 26

Add '29' to each side of the equation.
-29 + 29 + 11x = 26 + 29

Combine like terms: -29 + 29 = 0
0 + 11x = 26 + 29
11x = 26 + 29

Combine like terms: 26 + 29 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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