4(x-9)-3=-5+9(x+8)

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Solution for 4(x-9)-3=-5+9(x+8) equation:


Simplifying
4(x + -9) + -3 = -5 + 9(x + 8)

Reorder the terms:
4(-9 + x) + -3 = -5 + 9(x + 8)
(-9 * 4 + x * 4) + -3 = -5 + 9(x + 8)
(-36 + 4x) + -3 = -5 + 9(x + 8)

Reorder the terms:
-36 + -3 + 4x = -5 + 9(x + 8)

Combine like terms: -36 + -3 = -39
-39 + 4x = -5 + 9(x + 8)

Reorder the terms:
-39 + 4x = -5 + 9(8 + x)
-39 + 4x = -5 + (8 * 9 + x * 9)
-39 + 4x = -5 + (72 + 9x)

Combine like terms: -5 + 72 = 67
-39 + 4x = 67 + 9x

Solving
-39 + 4x = 67 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-39 + 4x + -9x = 67 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-39 + -5x = 67 + 9x + -9x

Combine like terms: 9x + -9x = 0
-39 + -5x = 67 + 0
-39 + -5x = 67

Add '39' to each side of the equation.
-39 + 39 + -5x = 67 + 39

Combine like terms: -39 + 39 = 0
0 + -5x = 67 + 39
-5x = 67 + 39

Combine like terms: 67 + 39 = 106
-5x = 106

Divide each side by '-5'.
x = -21.2

Simplifying
x = -21.2

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