3x-4(8-x)=40-5x

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Solution for 3x-4(8-x)=40-5x equation:


Simplifying
3x + -4(8 + -1x) = 40 + -5x
3x + (8 * -4 + -1x * -4) = 40 + -5x
3x + (-32 + 4x) = 40 + -5x

Reorder the terms:
-32 + 3x + 4x = 40 + -5x

Combine like terms: 3x + 4x = 7x
-32 + 7x = 40 + -5x

Solving
-32 + 7x = 40 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-32 + 7x + 5x = 40 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-32 + 12x = 40 + -5x + 5x

Combine like terms: -5x + 5x = 0
-32 + 12x = 40 + 0
-32 + 12x = 40

Add '32' to each side of the equation.
-32 + 32 + 12x = 40 + 32

Combine like terms: -32 + 32 = 0
0 + 12x = 40 + 32
12x = 40 + 32

Combine like terms: 40 + 32 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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