5(4-6x)+7(x+8)=-39

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Solution for 5(4-6x)+7(x+8)=-39 equation: 


Simplifying
5(4 + -6x) + 7(x + 8) = -39
(4 * 5 + -6x * 5) + 7(x + 8) = -39
(20 + -30x) + 7(x + 8) = -39

Reorder the terms:
20 + -30x + 7(8 + x) = -39
20 + -30x + (8 * 7 + x * 7) = -39
20 + -30x + (56 + 7x) = -39

Reorder the terms:
20 + 56 + -30x + 7x = -39

Combine like terms: 20 + 56 = 76
76 + -30x + 7x = -39

Combine like terms: -30x + 7x = -23x
76 + -23x = -39

Solving
76 + -23x = -39

Solving for variable 'x'.

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

Add '-76' to each side of the equation.
76 + -76 + -23x = -39 + -76

Combine like terms: 76 + -76 = 0
0 + -23x = -39 + -76
-23x = -39 + -76

Combine like terms: -39 + -76 = -115
-23x = -115

Divide each side by '-23'.
x = 5

Simplifying
x = 5

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