3(4x+2)-9=3(5x-4)

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Solution for 3(4x+2)-9=3(5x-4) equation:


Simplifying
3(4x + 2) + -9 = 3(5x + -4)

Reorder the terms:
3(2 + 4x) + -9 = 3(5x + -4)
(2 * 3 + 4x * 3) + -9 = 3(5x + -4)
(6 + 12x) + -9 = 3(5x + -4)

Reorder the terms:
6 + -9 + 12x = 3(5x + -4)

Combine like terms: 6 + -9 = -3
-3 + 12x = 3(5x + -4)

Reorder the terms:
-3 + 12x = 3(-4 + 5x)
-3 + 12x = (-4 * 3 + 5x * 3)
-3 + 12x = (-12 + 15x)

Solving
-3 + 12x = -12 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-3 + 12x + -15x = -12 + 15x + -15x

Combine like terms: 12x + -15x = -3x
-3 + -3x = -12 + 15x + -15x

Combine like terms: 15x + -15x = 0
-3 + -3x = -12 + 0
-3 + -3x = -12

Add '3' to each side of the equation.
-3 + 3 + -3x = -12 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -12 + 3
-3x = -12 + 3

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

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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