-9(x+1)+5(3x-5)=5(x-4)+13

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Solution for -9(x+1)+5(3x-5)=5(x-4)+13 equation:


Simplifying
-9(x + 1) + 5(3x + -5) = 5(x + -4) + 13

Reorder the terms:
-9(1 + x) + 5(3x + -5) = 5(x + -4) + 13
(1 * -9 + x * -9) + 5(3x + -5) = 5(x + -4) + 13
(-9 + -9x) + 5(3x + -5) = 5(x + -4) + 13

Reorder the terms:
-9 + -9x + 5(-5 + 3x) = 5(x + -4) + 13
-9 + -9x + (-5 * 5 + 3x * 5) = 5(x + -4) + 13
-9 + -9x + (-25 + 15x) = 5(x + -4) + 13

Reorder the terms:
-9 + -25 + -9x + 15x = 5(x + -4) + 13

Combine like terms: -9 + -25 = -34
-34 + -9x + 15x = 5(x + -4) + 13

Combine like terms: -9x + 15x = 6x
-34 + 6x = 5(x + -4) + 13

Reorder the terms:
-34 + 6x = 5(-4 + x) + 13
-34 + 6x = (-4 * 5 + x * 5) + 13
-34 + 6x = (-20 + 5x) + 13

Reorder the terms:
-34 + 6x = -20 + 13 + 5x

Combine like terms: -20 + 13 = -7
-34 + 6x = -7 + 5x

Solving
-34 + 6x = -7 + 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.
-34 + 6x + -5x = -7 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-34 + 1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-34 + 1x = -7 + 0
-34 + 1x = -7

Add '34' to each side of the equation.
-34 + 34 + 1x = -7 + 34

Combine like terms: -34 + 34 = 0
0 + 1x = -7 + 34
1x = -7 + 34

Combine like terms: -7 + 34 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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