3-5(x+2)=9(x-5)

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Solution for 3-5(x+2)=9(x-5) equation:


Simplifying
3 + -5(x + 2) = 9(x + -5)

Reorder the terms:
3 + -5(2 + x) = 9(x + -5)
3 + (2 * -5 + x * -5) = 9(x + -5)
3 + (-10 + -5x) = 9(x + -5)

Combine like terms: 3 + -10 = -7
-7 + -5x = 9(x + -5)

Reorder the terms:
-7 + -5x = 9(-5 + x)
-7 + -5x = (-5 * 9 + x * 9)
-7 + -5x = (-45 + 9x)

Solving
-7 + -5x = -45 + 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.
-7 + -5x + -9x = -45 + 9x + -9x

Combine like terms: -5x + -9x = -14x
-7 + -14x = -45 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + -14x = -45 + 0
-7 + -14x = -45

Add '7' to each side of the equation.
-7 + 7 + -14x = -45 + 7

Combine like terms: -7 + 7 = 0
0 + -14x = -45 + 7
-14x = -45 + 7

Combine like terms: -45 + 7 = -38
-14x = -38

Divide each side by '-14'.
x = 2.714285714

Simplifying
x = 2.714285714

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