7*(x+3)+4*(x-1)=72

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Solution for 7*(x+3)+4*(x-1)=72 equation: 


Simplifying
7(x + 3) + 4(x + -1) = 72

Reorder the terms:
7(3 + x) + 4(x + -1) = 72
(3 * 7 + x * 7) + 4(x + -1) = 72
(21 + 7x) + 4(x + -1) = 72

Reorder the terms:
21 + 7x + 4(-1 + x) = 72
21 + 7x + (-1 * 4 + x * 4) = 72
21 + 7x + (-4 + 4x) = 72

Reorder the terms:
21 + -4 + 7x + 4x = 72

Combine like terms: 21 + -4 = 17
17 + 7x + 4x = 72

Combine like terms: 7x + 4x = 11x
17 + 11x = 72

Solving
17 + 11x = 72

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 11x = 72 + -17

Combine like terms: 17 + -17 = 0
0 + 11x = 72 + -17
11x = 72 + -17

Combine like terms: 72 + -17 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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