58=3(2x+4)-2

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


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

Reorder the terms:
58 = 3(4 + 2x) + -2
58 = (4 * 3 + 2x * 3) + -2
58 = (12 + 6x) + -2

Reorder the terms:
58 = 12 + -2 + 6x

Combine like terms: 12 + -2 = 10
58 = 10 + 6x

Solving
58 = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
58 + -6x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
58 + -6x = 10 + 0
58 + -6x = 10

Add '-58' to each side of the equation.
58 + -58 + -6x = 10 + -58

Combine like terms: 58 + -58 = 0
0 + -6x = 10 + -58
-6x = 10 + -58

Combine like terms: 10 + -58 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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