3(4+x)+5(2-x)=48

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Solution for 3(4+x)+5(2-x)=48 equation: 


Simplifying
3(4 + x) + 5(2 + -1x) = 48
(4 * 3 + x * 3) + 5(2 + -1x) = 48
(12 + 3x) + 5(2 + -1x) = 48
12 + 3x + (2 * 5 + -1x * 5) = 48
12 + 3x + (10 + -5x) = 48

Reorder the terms:
12 + 10 + 3x + -5x = 48

Combine like terms: 12 + 10 = 22
22 + 3x + -5x = 48

Combine like terms: 3x + -5x = -2x
22 + -2x = 48

Solving
22 + -2x = 48

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -2x = 48 + -22

Combine like terms: 22 + -22 = 0
0 + -2x = 48 + -22
-2x = 48 + -22

Combine like terms: 48 + -22 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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