5+9(x-6)=7-4(x-5)

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Solution for 5+9(x-6)=7-4(x-5) equation:


Simplifying
5 + 9(x + -6) = 7 + -4(x + -5)

Reorder the terms:
5 + 9(-6 + x) = 7 + -4(x + -5)
5 + (-6 * 9 + x * 9) = 7 + -4(x + -5)
5 + (-54 + 9x) = 7 + -4(x + -5)

Combine like terms: 5 + -54 = -49
-49 + 9x = 7 + -4(x + -5)

Reorder the terms:
-49 + 9x = 7 + -4(-5 + x)
-49 + 9x = 7 + (-5 * -4 + x * -4)
-49 + 9x = 7 + (20 + -4x)

Combine like terms: 7 + 20 = 27
-49 + 9x = 27 + -4x

Solving
-49 + 9x = 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.
-49 + 9x + 4x = 27 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-49 + 13x = 27 + -4x + 4x

Combine like terms: -4x + 4x = 0
-49 + 13x = 27 + 0
-49 + 13x = 27

Add '49' to each side of the equation.
-49 + 49 + 13x = 27 + 49

Combine like terms: -49 + 49 = 0
0 + 13x = 27 + 49
13x = 27 + 49

Combine like terms: 27 + 49 = 76
13x = 76

Divide each side by '13'.
x = 5.846153846

Simplifying
x = 5.846153846

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