1+9(x-5)=3-5(x-8)

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Solution for 1+9(x-5)=3-5(x-8) equation:


Simplifying
1 + 9(x + -5) = 3 + -5(x + -8)

Reorder the terms:
1 + 9(-5 + x) = 3 + -5(x + -8)
1 + (-5 * 9 + x * 9) = 3 + -5(x + -8)
1 + (-45 + 9x) = 3 + -5(x + -8)

Combine like terms: 1 + -45 = -44
-44 + 9x = 3 + -5(x + -8)

Reorder the terms:
-44 + 9x = 3 + -5(-8 + x)
-44 + 9x = 3 + (-8 * -5 + x * -5)
-44 + 9x = 3 + (40 + -5x)

Combine like terms: 3 + 40 = 43
-44 + 9x = 43 + -5x

Solving
-44 + 9x = 43 + -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.
-44 + 9x + 5x = 43 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-44 + 14x = 43 + -5x + 5x

Combine like terms: -5x + 5x = 0
-44 + 14x = 43 + 0
-44 + 14x = 43

Add '44' to each side of the equation.
-44 + 44 + 14x = 43 + 44

Combine like terms: -44 + 44 = 0
0 + 14x = 43 + 44
14x = 43 + 44

Combine like terms: 43 + 44 = 87
14x = 87

Divide each side by '14'.
x = 6.214285714

Simplifying
x = 6.214285714

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