4+4(x-3)=9-5(x-6)

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Solution for 4+4(x-3)=9-5(x-6) equation:


Simplifying
4 + 4(x + -3) = 9 + -5(x + -6)

Reorder the terms:
4 + 4(-3 + x) = 9 + -5(x + -6)
4 + (-3 * 4 + x * 4) = 9 + -5(x + -6)
4 + (-12 + 4x) = 9 + -5(x + -6)

Combine like terms: 4 + -12 = -8
-8 + 4x = 9 + -5(x + -6)

Reorder the terms:
-8 + 4x = 9 + -5(-6 + x)
-8 + 4x = 9 + (-6 * -5 + x * -5)
-8 + 4x = 9 + (30 + -5x)

Combine like terms: 9 + 30 = 39
-8 + 4x = 39 + -5x

Solving
-8 + 4x = 39 + -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.
-8 + 4x + 5x = 39 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-8 + 9x = 39 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 9x = 39 + 0
-8 + 9x = 39

Add '8' to each side of the equation.
-8 + 8 + 9x = 39 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 39 + 8
9x = 39 + 8

Combine like terms: 39 + 8 = 47
9x = 47

Divide each side by '9'.
x = 5.222222222

Simplifying
x = 5.222222222

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