5x-2(x-1)=3(4-2x)+8

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Solution for 5x-2(x-1)=3(4-2x)+8 equation: 


Simplifying
5x + -2(x + -1) = 3(4 + -2x) + 8

Reorder the terms:
5x + -2(-1 + x) = 3(4 + -2x) + 8
5x + (-1 * -2 + x * -2) = 3(4 + -2x) + 8
5x + (2 + -2x) = 3(4 + -2x) + 8

Reorder the terms:
2 + 5x + -2x = 3(4 + -2x) + 8

Combine like terms: 5x + -2x = 3x
2 + 3x = 3(4 + -2x) + 8
2 + 3x = (4 * 3 + -2x * 3) + 8
2 + 3x = (12 + -6x) + 8

Reorder the terms:
2 + 3x = 12 + 8 + -6x

Combine like terms: 12 + 8 = 20
2 + 3x = 20 + -6x

Solving
2 + 3x = 20 + -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.
2 + 3x + 6x = 20 + -6x + 6x

Combine like terms: 3x + 6x = 9x
2 + 9x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 9x = 20 + 0
2 + 9x = 20

Add '-2' to each side of the equation.
2 + -2 + 9x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 20 + -2
9x = 20 + -2

Combine like terms: 20 + -2 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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