7(6x+5)-5(3x+2)=79

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Solution for 7(6x+5)-5(3x+2)=79 equation:


Simplifying
7(6x + 5) + -5(3x + 2) = 79

Reorder the terms:
7(5 + 6x) + -5(3x + 2) = 79
(5 * 7 + 6x * 7) + -5(3x + 2) = 79
(35 + 42x) + -5(3x + 2) = 79

Reorder the terms:
35 + 42x + -5(2 + 3x) = 79
35 + 42x + (2 * -5 + 3x * -5) = 79
35 + 42x + (-10 + -15x) = 79

Reorder the terms:
35 + -10 + 42x + -15x = 79

Combine like terms: 35 + -10 = 25
25 + 42x + -15x = 79

Combine like terms: 42x + -15x = 27x
25 + 27x = 79

Solving
25 + 27x = 79

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 27x = 79 + -25

Combine like terms: 25 + -25 = 0
0 + 27x = 79 + -25
27x = 79 + -25

Combine like terms: 79 + -25 = 54
27x = 54

Divide each side by '27'.
x = 2

Simplifying
x = 2

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