5(x-9)=13-4(10+x)

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Solution for 5(x-9)=13-4(10+x) equation:


Simplifying
5(x + -9) = 13 + -4(10 + x)

Reorder the terms:
5(-9 + x) = 13 + -4(10 + x)
(-9 * 5 + x * 5) = 13 + -4(10 + x)
(-45 + 5x) = 13 + -4(10 + x)
-45 + 5x = 13 + (10 * -4 + x * -4)
-45 + 5x = 13 + (-40 + -4x)

Combine like terms: 13 + -40 = -27
-45 + 5x = -27 + -4x

Solving
-45 + 5x = -27 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-45 + 5x + 4x = -27 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-45 + 9x = -27 + -4x + 4x

Combine like terms: -4x + 4x = 0
-45 + 9x = -27 + 0
-45 + 9x = -27

Add '45' to each side of the equation.
-45 + 45 + 9x = -27 + 45

Combine like terms: -45 + 45 = 0
0 + 9x = -27 + 45
9x = -27 + 45

Combine like terms: -27 + 45 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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