6(3x+1)=5x-(2x+2)

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Solution for 6(3x+1)=5x-(2x+2) equation:


Simplifying
6(3x + 1) = 5x + -1(2x + 2)

Reorder the terms:
6(1 + 3x) = 5x + -1(2x + 2)
(1 * 6 + 3x * 6) = 5x + -1(2x + 2)
(6 + 18x) = 5x + -1(2x + 2)

Reorder the terms:
6 + 18x = 5x + -1(2 + 2x)
6 + 18x = 5x + (2 * -1 + 2x * -1)
6 + 18x = 5x + (-2 + -2x)

Reorder the terms:
6 + 18x = -2 + 5x + -2x

Combine like terms: 5x + -2x = 3x
6 + 18x = -2 + 3x

Solving
6 + 18x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 18x + -3x = -2 + 3x + -3x

Combine like terms: 18x + -3x = 15x
6 + 15x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 15x = -2 + 0
6 + 15x = -2

Add '-6' to each side of the equation.
6 + -6 + 15x = -2 + -6

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

Combine like terms: -2 + -6 = -8
15x = -8

Divide each side by '15'.
x = -0.5333333333

Simplifying
x = -0.5333333333

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