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

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


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

Reorder the terms:
2x + 3(-2 + 5x) = 79
2x + (-2 * 3 + 5x * 3) = 79
2x + (-6 + 15x) = 79

Reorder the terms:
-6 + 2x + 15x = 79

Combine like terms: 2x + 15x = 17x
-6 + 17x = 79

Solving
-6 + 17x = 79

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 17x = 79 + 6

Combine like terms: -6 + 6 = 0
0 + 17x = 79 + 6
17x = 79 + 6

Combine like terms: 79 + 6 = 85
17x = 85

Divide each side by '17'.
x = 5

Simplifying
x = 5

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