8x-3(3x-1)=4(x+2)

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Solution for 8x-3(3x-1)=4(x+2) equation:


Simplifying
8x + -3(3x + -1) = 4(x + 2)

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

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

Combine like terms: 8x + -9x = -1x
3 + -1x = 4(x + 2)

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

Solving
3 + -1x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + -1x + -4x = 8 + 4x + -4x

Combine like terms: -1x + -4x = -5x
3 + -5x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -5x = 8 + 0
3 + -5x = 8

Add '-3' to each side of the equation.
3 + -3 + -5x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 8 + -3
-5x = 8 + -3

Combine like terms: 8 + -3 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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