2+9(x-1)=4-5(x-5)

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Solution for 2+9(x-1)=4-5(x-5) equation:


Simplifying
2 + 9(x + -1) = 4 + -5(x + -5)

Reorder the terms:
2 + 9(-1 + x) = 4 + -5(x + -5)
2 + (-1 * 9 + x * 9) = 4 + -5(x + -5)
2 + (-9 + 9x) = 4 + -5(x + -5)

Combine like terms: 2 + -9 = -7
-7 + 9x = 4 + -5(x + -5)

Reorder the terms:
-7 + 9x = 4 + -5(-5 + x)
-7 + 9x = 4 + (-5 * -5 + x * -5)
-7 + 9x = 4 + (25 + -5x)

Combine like terms: 4 + 25 = 29
-7 + 9x = 29 + -5x

Solving
-7 + 9x = 29 + -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.
-7 + 9x + 5x = 29 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-7 + 14x = 29 + -5x + 5x

Combine like terms: -5x + 5x = 0
-7 + 14x = 29 + 0
-7 + 14x = 29

Add '7' to each side of the equation.
-7 + 7 + 14x = 29 + 7

Combine like terms: -7 + 7 = 0
0 + 14x = 29 + 7
14x = 29 + 7

Combine like terms: 29 + 7 = 36
14x = 36

Divide each side by '14'.
x = 2.571428571

Simplifying
x = 2.571428571

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