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

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


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

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

Reorder the terms:
-4 + 4x = 8(4 + x)
-4 + 4x = (4 * 8 + x * 8)
-4 + 4x = (32 + 8x)

Solving
-4 + 4x = 32 + 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.
-4 + 4x + -8x = 32 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-4 + -4x = 32 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -4x = 32 + 0
-4 + -4x = 32

Add '4' to each side of the equation.
-4 + 4 + -4x = 32 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = 32 + 4
-4x = 32 + 4

Combine like terms: 32 + 4 = 36
-4x = 36

Divide each side by '-4'.
x = -9

Simplifying
x = -9

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