10=4(x-4)-(x-8)

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Solution for 10=4(x-4)-(x-8) equation:


Simplifying
10 = 4(x + -4) + -1(x + -8)

Reorder the terms:
10 = 4(-4 + x) + -1(x + -8)
10 = (-4 * 4 + x * 4) + -1(x + -8)
10 = (-16 + 4x) + -1(x + -8)

Reorder the terms:
10 = -16 + 4x + -1(-8 + x)
10 = -16 + 4x + (-8 * -1 + x * -1)
10 = -16 + 4x + (8 + -1x)

Reorder the terms:
10 = -16 + 8 + 4x + -1x

Combine like terms: -16 + 8 = -8
10 = -8 + 4x + -1x

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

Solving
10 = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -3x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -3x = -8 + 0
10 + -3x = -8

Add '-10' to each side of the equation.
10 + -10 + -3x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -8 + -10
-3x = -8 + -10

Combine like terms: -8 + -10 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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