5x+7(x-2)=58

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Solution for 5x+7(x-2)=58 equation:


Simplifying
5x + 7(x + -2) = 58

Reorder the terms:
5x + 7(-2 + x) = 58
5x + (-2 * 7 + x * 7) = 58
5x + (-14 + 7x) = 58

Reorder the terms:
-14 + 5x + 7x = 58

Combine like terms: 5x + 7x = 12x
-14 + 12x = 58

Solving
-14 + 12x = 58

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 12x = 58 + 14

Combine like terms: -14 + 14 = 0
0 + 12x = 58 + 14
12x = 58 + 14

Combine like terms: 58 + 14 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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