4(x+3)+2(8-x)=10

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Solution for 4(x+3)+2(8-x)=10 equation: 


Simplifying
4(x + 3) + 2(8 + -1x) = 10

Reorder the terms:
4(3 + x) + 2(8 + -1x) = 10
(3 * 4 + x * 4) + 2(8 + -1x) = 10
(12 + 4x) + 2(8 + -1x) = 10
12 + 4x + (8 * 2 + -1x * 2) = 10
12 + 4x + (16 + -2x) = 10

Reorder the terms:
12 + 16 + 4x + -2x = 10

Combine like terms: 12 + 16 = 28
28 + 4x + -2x = 10

Combine like terms: 4x + -2x = 2x
28 + 2x = 10

Solving
28 + 2x = 10

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 + 2x = 10 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = 10 + -28
2x = 10 + -28

Combine like terms: 10 + -28 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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