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

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


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

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

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

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

Combine like terms: -8 + 8 = 0
0 + 8x + -6x = x + 2
8x + -6x = x + 2

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

Reorder the terms:
2x = 2 + x

Solving
2x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2x + -1x = 2 + x + -1x

Combine like terms: 2x + -1x = 1x
1x = 2 + x + -1x

Combine like terms: x + -1x = 0
1x = 2 + 0
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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