5(x-8)+3(4-x)=14

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Solution for 5(x-8)+3(4-x)=14 equation:


Simplifying
5(x + -8) + 3(4 + -1x) = 14

Reorder the terms:
5(-8 + x) + 3(4 + -1x) = 14
(-8 * 5 + x * 5) + 3(4 + -1x) = 14
(-40 + 5x) + 3(4 + -1x) = 14
-40 + 5x + (4 * 3 + -1x * 3) = 14
-40 + 5x + (12 + -3x) = 14

Reorder the terms:
-40 + 12 + 5x + -3x = 14

Combine like terms: -40 + 12 = -28
-28 + 5x + -3x = 14

Combine like terms: 5x + -3x = 2x
-28 + 2x = 14

Solving
-28 + 2x = 14

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 = 14 + 28

Combine like terms: -28 + 28 = 0
0 + 2x = 14 + 28
2x = 14 + 28

Combine like terms: 14 + 28 = 42
2x = 42

Divide each side by '2'.
x = 21

Simplifying
x = 21

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