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

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


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

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

Reorder the terms:
8 + 8x + -3(4 + x) = (2 + -1x)
8 + 8x + (4 * -3 + x * -3) = (2 + -1x)
8 + 8x + (-12 + -3x) = (2 + -1x)

Reorder the terms:
8 + -12 + 8x + -3x = (2 + -1x)

Combine like terms: 8 + -12 = -4
-4 + 8x + -3x = (2 + -1x)

Combine like terms: 8x + -3x = 5x
-4 + 5x = (2 + -1x)

Remove parenthesis around (2 + -1x)
-4 + 5x = 2 + -1x

Solving
-4 + 5x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + 5x + x = 2 + -1x + x

Combine like terms: 5x + x = 6x
-4 + 6x = 2 + -1x + x

Combine like terms: -1x + x = 0
-4 + 6x = 2 + 0
-4 + 6x = 2

Add '4' to each side of the equation.
-4 + 4 + 6x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 2 + 4
6x = 2 + 4

Combine like terms: 2 + 4 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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