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

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


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

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

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

Combine like terms: 8 + 2 = 10
10 + -1x + -2x = 4(x + 3)

Combine like terms: -1x + -2x = -3x
10 + -3x = 4(x + 3)

Reorder the terms:
10 + -3x = 4(3 + x)
10 + -3x = (3 * 4 + x * 4)
10 + -3x = (12 + 4x)

Solving
10 + -3x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -3x + -4x = 12 + 4x + -4x

Combine like terms: -3x + -4x = -7x
10 + -7x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -7x = 12 + 0
10 + -7x = 12

Add '-10' to each side of the equation.
10 + -10 + -7x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 12 + -10
-7x = 12 + -10

Combine like terms: 12 + -10 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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