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

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Solution for 6(x-4)+3x-2=58 equation: 


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

Reorder the terms:
6(-4 + x) + 3x + -2 = 58
(-4 * 6 + x * 6) + 3x + -2 = 58
(-24 + 6x) + 3x + -2 = 58

Reorder the terms:
-24 + -2 + 6x + 3x = 58

Combine like terms: -24 + -2 = -26
-26 + 6x + 3x = 58

Combine like terms: 6x + 3x = 9x
-26 + 9x = 58

Solving
-26 + 9x = 58

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 9x = 58 + 26

Combine like terms: -26 + 26 = 0
0 + 9x = 58 + 26
9x = 58 + 26

Combine like terms: 58 + 26 = 84
9x = 84

Divide each side by '9'.
x = 9.333333333

Simplifying
x = 9.333333333

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