79-(5x+3)=5(x+2)+x

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Solution for 79-(5x+3)=5(x+2)+x equation:


Simplifying
79 + -1(5x + 3) = 5(x + 2) + x

Reorder the terms:
79 + -1(3 + 5x) = 5(x + 2) + x
79 + (3 * -1 + 5x * -1) = 5(x + 2) + x
79 + (-3 + -5x) = 5(x + 2) + x

Combine like terms: 79 + -3 = 76
76 + -5x = 5(x + 2) + x

Reorder the terms:
76 + -5x = 5(2 + x) + x
76 + -5x = (2 * 5 + x * 5) + x
76 + -5x = (10 + 5x) + x

Combine like terms: 5x + x = 6x
76 + -5x = 10 + 6x

Solving
76 + -5x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
76 + -5x + -6x = 10 + 6x + -6x

Combine like terms: -5x + -6x = -11x
76 + -11x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
76 + -11x = 10 + 0
76 + -11x = 10

Add '-76' to each side of the equation.
76 + -76 + -11x = 10 + -76

Combine like terms: 76 + -76 = 0
0 + -11x = 10 + -76
-11x = 10 + -76

Combine like terms: 10 + -76 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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