3(7-2x)+4(x-3)=50

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Solution for 3(7-2x)+4(x-3)=50 equation: 


Simplifying
3(7 + -2x) + 4(x + -3) = 50
(7 * 3 + -2x * 3) + 4(x + -3) = 50
(21 + -6x) + 4(x + -3) = 50

Reorder the terms:
21 + -6x + 4(-3 + x) = 50
21 + -6x + (-3 * 4 + x * 4) = 50
21 + -6x + (-12 + 4x) = 50

Reorder the terms:
21 + -12 + -6x + 4x = 50

Combine like terms: 21 + -12 = 9
9 + -6x + 4x = 50

Combine like terms: -6x + 4x = -2x
9 + -2x = 50

Solving
9 + -2x = 50

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 50 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 50 + -9
-2x = 50 + -9

Combine like terms: 50 + -9 = 41
-2x = 41

Divide each side by '-2'.
x = -20.5

Simplifying
x = -20.5

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