5-3(x-9)=5(x+4)

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Solution for 5-3(x-9)=5(x+4) equation: 


Simplifying
5 + -3(x + -9) = 5(x + 4)

Reorder the terms:
5 + -3(-9 + x) = 5(x + 4)
5 + (-9 * -3 + x * -3) = 5(x + 4)
5 + (27 + -3x) = 5(x + 4)

Combine like terms: 5 + 27 = 32
32 + -3x = 5(x + 4)

Reorder the terms:
32 + -3x = 5(4 + x)
32 + -3x = (4 * 5 + x * 5)
32 + -3x = (20 + 5x)

Solving
32 + -3x = 20 + 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 + -3x + -5x = 20 + 5x + -5x

Combine like terms: -3x + -5x = -8x
32 + -8x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + -8x = 20 + 0
32 + -8x = 20

Add '-32' to each side of the equation.
32 + -32 + -8x = 20 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = 20 + -32
-8x = 20 + -32

Combine like terms: 20 + -32 = -12
-8x = -12

Divide each side by '-8'.
x = 1.5

Simplifying
x = 1.5

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