4(x-8)-2(3-x)=6

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Solution for 4(x-8)-2(3-x)=6 equation:


Simplifying
4(x + -8) + -2(3 + -1x) = 6

Reorder the terms:
4(-8 + x) + -2(3 + -1x) = 6
(-8 * 4 + x * 4) + -2(3 + -1x) = 6
(-32 + 4x) + -2(3 + -1x) = 6
-32 + 4x + (3 * -2 + -1x * -2) = 6
-32 + 4x + (-6 + 2x) = 6

Reorder the terms:
-32 + -6 + 4x + 2x = 6

Combine like terms: -32 + -6 = -38
-38 + 4x + 2x = 6

Combine like terms: 4x + 2x = 6x
-38 + 6x = 6

Solving
-38 + 6x = 6

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 6x = 6 + 38

Combine like terms: -38 + 38 = 0
0 + 6x = 6 + 38
6x = 6 + 38

Combine like terms: 6 + 38 = 44
6x = 44

Divide each side by '6'.
x = 7.333333333

Simplifying
x = 7.333333333

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