2(3x)-5(3x+1)=58

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Solution for 2(3x)-5(3x+1)=58 equation:


Simplifying
2(3x) + -5(3x + 1) = 58

Remove parenthesis around (3x)
2 * 3x + -5(3x + 1) = 58

Multiply 2 * 3
6x + -5(3x + 1) = 58

Reorder the terms:
6x + -5(1 + 3x) = 58
6x + (1 * -5 + 3x * -5) = 58
6x + (-5 + -15x) = 58

Reorder the terms:
-5 + 6x + -15x = 58

Combine like terms: 6x + -15x = -9x
-5 + -9x = 58

Solving
-5 + -9x = 58

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -9x = 58 + 5

Combine like terms: -5 + 5 = 0
0 + -9x = 58 + 5
-9x = 58 + 5

Combine like terms: 58 + 5 = 63
-9x = 63

Divide each side by '-9'.
x = -7

Simplifying
x = -7

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