8x-3(x-1)=2x+6

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Solution for 8x-3(x-1)=2x+6 equation:


Simplifying
8x + -3(x + -1) = 2x + 6

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

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

Combine like terms: 8x + -3x = 5x
3 + 5x = 2x + 6

Reorder the terms:
3 + 5x = 6 + 2x

Solving
3 + 5x = 6 + 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.
3 + 5x + -2x = 6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
3 + 3x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 3x = 6 + 0
3 + 3x = 6

Add '-3' to each side of the equation.
3 + -3 + 3x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 6 + -3
3x = 6 + -3

Combine like terms: 6 + -3 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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