5x+7(6x-11)=58

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Solution for 5x+7(6x-11)=58 equation:


Simplifying
5x + 7(6x + -11) = 58

Reorder the terms:
5x + 7(-11 + 6x) = 58
5x + (-11 * 7 + 6x * 7) = 58
5x + (-77 + 42x) = 58

Reorder the terms:
-77 + 5x + 42x = 58

Combine like terms: 5x + 42x = 47x
-77 + 47x = 58

Solving
-77 + 47x = 58

Solving for variable 'x'.

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

Add '77' to each side of the equation.
-77 + 77 + 47x = 58 + 77

Combine like terms: -77 + 77 = 0
0 + 47x = 58 + 77
47x = 58 + 77

Combine like terms: 58 + 77 = 135
47x = 135

Divide each side by '47'.
x = 2.872340426

Simplifying
x = 2.872340426

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