-12*(x-5)+7*(3-x)=5

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Solution for -12*(x-5)+7*(3-x)=5 equation: 


Simplifying
-12(x + -5) + 7(3 + -1x) = 5

Reorder the terms:
-12(-5 + x) + 7(3 + -1x) = 5
(-5 * -12 + x * -12) + 7(3 + -1x) = 5
(60 + -12x) + 7(3 + -1x) = 5
60 + -12x + (3 * 7 + -1x * 7) = 5
60 + -12x + (21 + -7x) = 5

Reorder the terms:
60 + 21 + -12x + -7x = 5

Combine like terms: 60 + 21 = 81
81 + -12x + -7x = 5

Combine like terms: -12x + -7x = -19x
81 + -19x = 5

Solving
81 + -19x = 5

Solving for variable 'x'.

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

Add '-81' to each side of the equation.
81 + -81 + -19x = 5 + -81

Combine like terms: 81 + -81 = 0
0 + -19x = 5 + -81
-19x = 5 + -81

Combine like terms: 5 + -81 = -76
-19x = -76

Divide each side by '-19'.
x = 4

Simplifying
x = 4

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