3(x-4)+3x=9-2(x-1)

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Solution for 3(x-4)+3x=9-2(x-1) equation:


Simplifying
3(x + -4) + 3x = 9 + -2(x + -1)

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

Combine like terms: 3x + 3x = 6x
-12 + 6x = 9 + -2(x + -1)

Reorder the terms:
-12 + 6x = 9 + -2(-1 + x)
-12 + 6x = 9 + (-1 * -2 + x * -2)
-12 + 6x = 9 + (2 + -2x)

Combine like terms: 9 + 2 = 11
-12 + 6x = 11 + -2x

Solving
-12 + 6x = 11 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + 6x + 2x = 11 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-12 + 8x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 8x = 11 + 0
-12 + 8x = 11

Add '12' to each side of the equation.
-12 + 12 + 8x = 11 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 11 + 12
8x = 11 + 12

Combine like terms: 11 + 12 = 23
8x = 23

Divide each side by '8'.
x = 2.875

Simplifying
x = 2.875

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