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

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


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

Reorder the terms:
4(3 + 2x) + x = 3(x + -3)
(3 * 4 + 2x * 4) + x = 3(x + -3)
(12 + 8x) + x = 3(x + -3)

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

Reorder the terms:
12 + 9x = 3(-3 + x)
12 + 9x = (-3 * 3 + x * 3)
12 + 9x = (-9 + 3x)

Solving
12 + 9x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 9x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
12 + 6x = -9 + 0
12 + 6x = -9

Add '-12' to each side of the equation.
12 + -12 + 6x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = -9 + -12
6x = -9 + -12

Combine like terms: -9 + -12 = -21
6x = -21

Divide each side by '6'.
x = -3.5

Simplifying
x = -3.5

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