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

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


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

Reorder the terms:
3(2 + x) + 2(x + -1) = 8x + -4
(2 * 3 + x * 3) + 2(x + -1) = 8x + -4
(6 + 3x) + 2(x + -1) = 8x + -4

Reorder the terms:
6 + 3x + 2(-1 + x) = 8x + -4
6 + 3x + (-1 * 2 + x * 2) = 8x + -4
6 + 3x + (-2 + 2x) = 8x + -4

Reorder the terms:
6 + -2 + 3x + 2x = 8x + -4

Combine like terms: 6 + -2 = 4
4 + 3x + 2x = 8x + -4

Combine like terms: 3x + 2x = 5x
4 + 5x = 8x + -4

Reorder the terms:
4 + 5x = -4 + 8x

Solving
4 + 5x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 5x + -8x = -4 + 8x + -8x

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

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

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

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

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

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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