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

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


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

Reorder the terms:
3[2 + 3x] + -5[x + 4] = 6
[2 * 3 + 3x * 3] + -5[x + 4] = 6
[6 + 9x] + -5[x + 4] = 6

Reorder the terms:
6 + 9x + -5[4 + x] = 6
6 + 9x + [4 * -5 + x * -5] = 6
6 + 9x + [-20 + -5x] = 6

Reorder the terms:
6 + -20 + 9x + -5x = 6

Combine like terms: 6 + -20 = -14
-14 + 9x + -5x = 6

Combine like terms: 9x + -5x = 4x
-14 + 4x = 6

Solving
-14 + 4x = 6

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 4x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 6 + 14
4x = 6 + 14

Combine like terms: 6 + 14 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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