4(x-8)+9(x-5)=7

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Solution for 4(x-8)+9(x-5)=7 equation: 


Simplifying
4(x + -8) + 9(x + -5) = 7

Reorder the terms:
4(-8 + x) + 9(x + -5) = 7
(-8 * 4 + x * 4) + 9(x + -5) = 7
(-32 + 4x) + 9(x + -5) = 7

Reorder the terms:
-32 + 4x + 9(-5 + x) = 7
-32 + 4x + (-5 * 9 + x * 9) = 7
-32 + 4x + (-45 + 9x) = 7

Reorder the terms:
-32 + -45 + 4x + 9x = 7

Combine like terms: -32 + -45 = -77
-77 + 4x + 9x = 7

Combine like terms: 4x + 9x = 13x
-77 + 13x = 7

Solving
-77 + 13x = 7

Solving for variable 'x'.

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

Add '77' to each side of the equation.
-77 + 77 + 13x = 7 + 77

Combine like terms: -77 + 77 = 0
0 + 13x = 7 + 77
13x = 7 + 77

Combine like terms: 7 + 77 = 84
13x = 84

Divide each side by '13'.
x = 6.461538462

Simplifying
x = 6.461538462

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