3(5x+6)=4[(2x)-(2)]

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Solution for 3(5x+6)=4[(2x)-(2)] equation:


Simplifying
3(5x + 6) = 4[(2x) + -1(2)]

Reorder the terms:
3(6 + 5x) = 4[(2x) + -1(2)]
(6 * 3 + 5x * 3) = 4[(2x) + -1(2)]
(18 + 15x) = 4[(2x) + -1(2)]

Multiply -1 * 2
18 + 15x = 4[(2x) + -2]

Reorder the terms:
18 + 15x = 4[-2 + (2x)]
18 + 15x = [-2 * 4 + (2x) * 4]
18 + 15x = [-8 + 8x]

Solving
18 + 15x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18 + 15x + -8x = -8 + 8x + -8x

Combine like terms: 15x + -8x = 7x
18 + 7x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + 7x = -8 + 0
18 + 7x = -8

Add '-18' to each side of the equation.
18 + -18 + 7x = -8 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = -8 + -18
7x = -8 + -18

Combine like terms: -8 + -18 = -26
7x = -26

Divide each side by '7'.
x = -3.714285714

Simplifying
x = -3.714285714

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