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

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


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

Reorder the terms:
3(-8 + x) + 2(x + -3) = 4(8 + -1x)
(-8 * 3 + x * 3) + 2(x + -3) = 4(8 + -1x)
(-24 + 3x) + 2(x + -3) = 4(8 + -1x)

Reorder the terms:
-24 + 3x + 2(-3 + x) = 4(8 + -1x)
-24 + 3x + (-3 * 2 + x * 2) = 4(8 + -1x)
-24 + 3x + (-6 + 2x) = 4(8 + -1x)

Reorder the terms:
-24 + -6 + 3x + 2x = 4(8 + -1x)

Combine like terms: -24 + -6 = -30
-30 + 3x + 2x = 4(8 + -1x)

Combine like terms: 3x + 2x = 5x
-30 + 5x = 4(8 + -1x)
-30 + 5x = (8 * 4 + -1x * 4)
-30 + 5x = (32 + -4x)

Solving
-30 + 5x = 32 + -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.
-30 + 5x + 4x = 32 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-30 + 9x = 32 + -4x + 4x

Combine like terms: -4x + 4x = 0
-30 + 9x = 32 + 0
-30 + 9x = 32

Add '30' to each side of the equation.
-30 + 30 + 9x = 32 + 30

Combine like terms: -30 + 30 = 0
0 + 9x = 32 + 30
9x = 32 + 30

Combine like terms: 32 + 30 = 62
9x = 62

Divide each side by '9'.
x = 6.888888889

Simplifying
x = 6.888888889

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