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

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


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

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

Reorder the terms:
4 + x = -5 + 9x + 1x

Combine like terms: 9x + 1x = 10x
4 + x = -5 + 10x

Solving
4 + x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + x + -10x = -5 + 10x + -10x

Combine like terms: x + -10x = -9x
4 + -9x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -9x = -5 + 0
4 + -9x = -5

Add '-4' to each side of the equation.
4 + -4 + -9x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = -5 + -4
-9x = -5 + -4

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

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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