-3(3x-4)+x=8+3(2x-4)

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Solution for -3(3x-4)+x=8+3(2x-4) equation:


Simplifying
-3(3x + -4) + x = 8 + 3(2x + -4)

Reorder the terms:
-3(-4 + 3x) + x = 8 + 3(2x + -4)
(-4 * -3 + 3x * -3) + x = 8 + 3(2x + -4)
(12 + -9x) + x = 8 + 3(2x + -4)

Combine like terms: -9x + x = -8x
12 + -8x = 8 + 3(2x + -4)

Reorder the terms:
12 + -8x = 8 + 3(-4 + 2x)
12 + -8x = 8 + (-4 * 3 + 2x * 3)
12 + -8x = 8 + (-12 + 6x)

Combine like terms: 8 + -12 = -4
12 + -8x = -4 + 6x

Solving
12 + -8x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + -8x + -6x = -4 + 6x + -6x

Combine like terms: -8x + -6x = -14x
12 + -14x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -14x = -4 + 0
12 + -14x = -4

Add '-12' to each side of the equation.
12 + -12 + -14x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -14x = -4 + -12
-14x = -4 + -12

Combine like terms: -4 + -12 = -16
-14x = -16

Divide each side by '-14'.
x = 1.142857143

Simplifying
x = 1.142857143

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