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

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


Simplifying
x + -8(3x + 4) = x + 5(4 + -5x)

Reorder the terms:
x + -8(4 + 3x) = x + 5(4 + -5x)
x + (4 * -8 + 3x * -8) = x + 5(4 + -5x)
x + (-32 + -24x) = x + 5(4 + -5x)

Reorder the terms:
-32 + x + -24x = x + 5(4 + -5x)

Combine like terms: x + -24x = -23x
-32 + -23x = x + 5(4 + -5x)
-32 + -23x = x + (4 * 5 + -5x * 5)
-32 + -23x = x + (20 + -25x)

Reorder the terms:
-32 + -23x = 20 + x + -25x

Combine like terms: x + -25x = -24x
-32 + -23x = 20 + -24x

Solving
-32 + -23x = 20 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-32 + -23x + 24x = 20 + -24x + 24x

Combine like terms: -23x + 24x = 1x
-32 + 1x = 20 + -24x + 24x

Combine like terms: -24x + 24x = 0
-32 + 1x = 20 + 0
-32 + 1x = 20

Add '32' to each side of the equation.
-32 + 32 + 1x = 20 + 32

Combine like terms: -32 + 32 = 0
0 + 1x = 20 + 32
1x = 20 + 32

Combine like terms: 20 + 32 = 52
1x = 52

Divide each side by '1'.
x = 52

Simplifying
x = 52

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