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

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


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

Reorder the terms for easier multiplication:
3 * 6x + 2 = 5x + -2

Multiply 3 * 6
18x + 2 = 5x + -2

Reorder the terms:
2 + 18x = 5x + -2

Reorder the terms:
2 + 18x = -2 + 5x

Solving
2 + 18x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 18x + -5x = -2 + 5x + -5x

Combine like terms: 18x + -5x = 13x
2 + 13x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 13x = -2 + 0
2 + 13x = -2

Add '-2' to each side of the equation.
2 + -2 + 13x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + 13x = -2 + -2
13x = -2 + -2

Combine like terms: -2 + -2 = -4
13x = -4

Divide each side by '13'.
x = -0.3076923077

Simplifying
x = -0.3076923077

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