3[5x-2]+4x=9x+6-2x

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Solution for 3[5x-2]+4x=9x+6-2x equation:


Simplifying
3[5x + -2] + 4x = 9x + 6 + -2x

Reorder the terms:
3[-2 + 5x] + 4x = 9x + 6 + -2x
[-2 * 3 + 5x * 3] + 4x = 9x + 6 + -2x
[-6 + 15x] + 4x = 9x + 6 + -2x

Combine like terms: 15x + 4x = 19x
-6 + 19x = 9x + 6 + -2x

Reorder the terms:
-6 + 19x = 6 + 9x + -2x

Combine like terms: 9x + -2x = 7x
-6 + 19x = 6 + 7x

Solving
-6 + 19x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 19x + -7x = 6 + 7x + -7x

Combine like terms: 19x + -7x = 12x
-6 + 12x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 12x = 6 + 0
-6 + 12x = 6

Add '6' to each side of the equation.
-6 + 6 + 12x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 6 + 6
12x = 6 + 6

Combine like terms: 6 + 6 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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