7x-3(x-4)+11=79

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Solution for 7x-3(x-4)+11=79 equation:


Simplifying
7x + -3(x + -4) + 11 = 79

Reorder the terms:
7x + -3(-4 + x) + 11 = 79
7x + (-4 * -3 + x * -3) + 11 = 79
7x + (12 + -3x) + 11 = 79

Reorder the terms:
12 + 11 + 7x + -3x = 79

Combine like terms: 12 + 11 = 23
23 + 7x + -3x = 79

Combine like terms: 7x + -3x = 4x
23 + 4x = 79

Solving
23 + 4x = 79

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 4x = 79 + -23

Combine like terms: 23 + -23 = 0
0 + 4x = 79 + -23
4x = 79 + -23

Combine like terms: 79 + -23 = 56
4x = 56

Divide each side by '4'.
x = 14

Simplifying
x = 14

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