(3x+4)+(2x-5)*2=58

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Solution for (3x+4)+(2x-5)*2=58 equation:


Simplifying
(3x + 4) + (2x + -5) * 2 = 58

Reorder the terms:
(4 + 3x) + (2x + -5) * 2 = 58

Remove parenthesis around (4 + 3x)
4 + 3x + (2x + -5) * 2 = 58

Reorder the terms:
4 + 3x + (-5 + 2x) * 2 = 58

Reorder the terms for easier multiplication:
4 + 3x + 2(-5 + 2x) = 58
4 + 3x + (-5 * 2 + 2x * 2) = 58
4 + 3x + (-10 + 4x) = 58

Reorder the terms:
4 + -10 + 3x + 4x = 58

Combine like terms: 4 + -10 = -6
-6 + 3x + 4x = 58

Combine like terms: 3x + 4x = 7x
-6 + 7x = 58

Solving
-6 + 7x = 58

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 + 7x = 58 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 58 + 6
7x = 58 + 6

Combine like terms: 58 + 6 = 64
7x = 64

Divide each side by '7'.
x = 9.142857143

Simplifying
x = 9.142857143

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