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

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


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

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

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

Reorder the terms:
8 + 24 + 2x + -3x = 4

Combine like terms: 8 + 24 = 32
32 + 2x + -3x = 4

Combine like terms: 2x + -3x = -1x
32 + -1x = 4

Solving
32 + -1x = 4

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -1x = 4 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 4 + -32
-1x = 4 + -32

Combine like terms: 4 + -32 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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