8+4(x-8)=3-3(x-6)

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Solution for 8+4(x-8)=3-3(x-6) equation:


Simplifying
8 + 4(x + -8) = 3 + -3(x + -6)

Reorder the terms:
8 + 4(-8 + x) = 3 + -3(x + -6)
8 + (-8 * 4 + x * 4) = 3 + -3(x + -6)
8 + (-32 + 4x) = 3 + -3(x + -6)

Combine like terms: 8 + -32 = -24
-24 + 4x = 3 + -3(x + -6)

Reorder the terms:
-24 + 4x = 3 + -3(-6 + x)
-24 + 4x = 3 + (-6 * -3 + x * -3)
-24 + 4x = 3 + (18 + -3x)

Combine like terms: 3 + 18 = 21
-24 + 4x = 21 + -3x

Solving
-24 + 4x = 21 + -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.
-24 + 4x + 3x = 21 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-24 + 7x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-24 + 7x = 21 + 0
-24 + 7x = 21

Add '24' to each side of the equation.
-24 + 24 + 7x = 21 + 24

Combine like terms: -24 + 24 = 0
0 + 7x = 21 + 24
7x = 21 + 24

Combine like terms: 21 + 24 = 45
7x = 45

Divide each side by '7'.
x = 6.428571429

Simplifying
x = 6.428571429

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