3(6x+5)-2(x-3)=0

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Solution for 3(6x+5)-2(x-3)=0 equation:


Simplifying
3(6x + 5) + -2(x + -3) = 0

Reorder the terms:
3(5 + 6x) + -2(x + -3) = 0
(5 * 3 + 6x * 3) + -2(x + -3) = 0
(15 + 18x) + -2(x + -3) = 0

Reorder the terms:
15 + 18x + -2(-3 + x) = 0
15 + 18x + (-3 * -2 + x * -2) = 0
15 + 18x + (6 + -2x) = 0

Reorder the terms:
15 + 6 + 18x + -2x = 0

Combine like terms: 15 + 6 = 21
21 + 18x + -2x = 0

Combine like terms: 18x + -2x = 16x
21 + 16x = 0

Solving
21 + 16x = 0

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 16x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 16x = 0 + -21
16x = 0 + -21

Combine like terms: 0 + -21 = -21
16x = -21

Divide each side by '16'.
x = -1.3125

Simplifying
x = -1.3125

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