4(2x-3)+2(x-8)=32

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Solution for 4(2x-3)+2(x-8)=32 equation: 


Simplifying
4(2x + -3) + 2(x + -8) = 32

Reorder the terms:
4(-3 + 2x) + 2(x + -8) = 32
(-3 * 4 + 2x * 4) + 2(x + -8) = 32
(-12 + 8x) + 2(x + -8) = 32

Reorder the terms:
-12 + 8x + 2(-8 + x) = 32
-12 + 8x + (-8 * 2 + x * 2) = 32
-12 + 8x + (-16 + 2x) = 32

Reorder the terms:
-12 + -16 + 8x + 2x = 32

Combine like terms: -12 + -16 = -28
-28 + 8x + 2x = 32

Combine like terms: 8x + 2x = 10x
-28 + 10x = 32

Solving
-28 + 10x = 32

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 10x = 32 + 28

Combine like terms: -28 + 28 = 0
0 + 10x = 32 + 28
10x = 32 + 28

Combine like terms: 32 + 28 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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