4-8(x-4)=8-4(x-9)

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Solution for 4-8(x-4)=8-4(x-9) equation:


Simplifying
4 + -8(x + -4) = 8 + -4(x + -9)

Reorder the terms:
4 + -8(-4 + x) = 8 + -4(x + -9)
4 + (-4 * -8 + x * -8) = 8 + -4(x + -9)
4 + (32 + -8x) = 8 + -4(x + -9)

Combine like terms: 4 + 32 = 36
36 + -8x = 8 + -4(x + -9)

Reorder the terms:
36 + -8x = 8 + -4(-9 + x)
36 + -8x = 8 + (-9 * -4 + x * -4)
36 + -8x = 8 + (36 + -4x)

Combine like terms: 8 + 36 = 44
36 + -8x = 44 + -4x

Solving
36 + -8x = 44 + -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.
36 + -8x + 4x = 44 + -4x + 4x

Combine like terms: -8x + 4x = -4x
36 + -4x = 44 + -4x + 4x

Combine like terms: -4x + 4x = 0
36 + -4x = 44 + 0
36 + -4x = 44

Add '-36' to each side of the equation.
36 + -36 + -4x = 44 + -36

Combine like terms: 36 + -36 = 0
0 + -4x = 44 + -36
-4x = 44 + -36

Combine like terms: 44 + -36 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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