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

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


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

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

Reorder the terms:
-4 + 4x + -2(3 + x) = 8(5 + -1x)
-4 + 4x + (3 * -2 + x * -2) = 8(5 + -1x)
-4 + 4x + (-6 + -2x) = 8(5 + -1x)

Reorder the terms:
-4 + -6 + 4x + -2x = 8(5 + -1x)

Combine like terms: -4 + -6 = -10
-10 + 4x + -2x = 8(5 + -1x)

Combine like terms: 4x + -2x = 2x
-10 + 2x = 8(5 + -1x)
-10 + 2x = (5 * 8 + -1x * 8)
-10 + 2x = (40 + -8x)

Solving
-10 + 2x = 40 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-10 + 2x + 8x = 40 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-10 + 10x = 40 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + 10x = 40 + 0
-10 + 10x = 40

Add '10' to each side of the equation.
-10 + 10 + 10x = 40 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 40 + 10
10x = 40 + 10

Combine like terms: 40 + 10 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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