3(3x-4)+3=(3x-1)-2(x-4)

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Solution for 3(3x-4)+3=(3x-1)-2(x-4) equation:


Simplifying
3(3x + -4) + 3 = (3x + -1) + -2(x + -4)

Reorder the terms:
3(-4 + 3x) + 3 = (3x + -1) + -2(x + -4)
(-4 * 3 + 3x * 3) + 3 = (3x + -1) + -2(x + -4)
(-12 + 9x) + 3 = (3x + -1) + -2(x + -4)

Reorder the terms:
-12 + 3 + 9x = (3x + -1) + -2(x + -4)

Combine like terms: -12 + 3 = -9
-9 + 9x = (3x + -1) + -2(x + -4)

Reorder the terms:
-9 + 9x = (-1 + 3x) + -2(x + -4)

Remove parenthesis around (-1 + 3x)
-9 + 9x = -1 + 3x + -2(x + -4)

Reorder the terms:
-9 + 9x = -1 + 3x + -2(-4 + x)
-9 + 9x = -1 + 3x + (-4 * -2 + x * -2)
-9 + 9x = -1 + 3x + (8 + -2x)

Reorder the terms:
-9 + 9x = -1 + 8 + 3x + -2x

Combine like terms: -1 + 8 = 7
-9 + 9x = 7 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-9 + 9x = 7 + 1x

Solving
-9 + 9x = 7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 9x + -1x = 7 + 1x + -1x

Combine like terms: 9x + -1x = 8x
-9 + 8x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-9 + 8x = 7 + 0
-9 + 8x = 7

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

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

Combine like terms: 7 + 9 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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