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

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


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

Reorder the terms:
4[-2 + 3x] = 3[2x + 4] + 3x + -5
[-2 * 4 + 3x * 4] = 3[2x + 4] + 3x + -5
[-8 + 12x] = 3[2x + 4] + 3x + -5

Reorder the terms:
-8 + 12x = 3[4 + 2x] + 3x + -5
-8 + 12x = [4 * 3 + 2x * 3] + 3x + -5
-8 + 12x = [12 + 6x] + 3x + -5

Reorder the terms:
-8 + 12x = 12 + -5 + 6x + 3x

Combine like terms: 12 + -5 = 7
-8 + 12x = 7 + 6x + 3x

Combine like terms: 6x + 3x = 9x
-8 + 12x = 7 + 9x

Solving
-8 + 12x = 7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 12x + -9x = 7 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-8 + 3x = 7 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + 3x = 7 + 0
-8 + 3x = 7

Add '8' to each side of the equation.
-8 + 8 + 3x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 7 + 8
3x = 7 + 8

Combine like terms: 7 + 8 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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