-14(x+1)+5(4x-4)=5(x-6)+9

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Solution for -14(x+1)+5(4x-4)=5(x-6)+9 equation:


Simplifying
-14(x + 1) + 5(4x + -4) = 5(x + -6) + 9

Reorder the terms:
-14(1 + x) + 5(4x + -4) = 5(x + -6) + 9
(1 * -14 + x * -14) + 5(4x + -4) = 5(x + -6) + 9
(-14 + -14x) + 5(4x + -4) = 5(x + -6) + 9

Reorder the terms:
-14 + -14x + 5(-4 + 4x) = 5(x + -6) + 9
-14 + -14x + (-4 * 5 + 4x * 5) = 5(x + -6) + 9
-14 + -14x + (-20 + 20x) = 5(x + -6) + 9

Reorder the terms:
-14 + -20 + -14x + 20x = 5(x + -6) + 9

Combine like terms: -14 + -20 = -34
-34 + -14x + 20x = 5(x + -6) + 9

Combine like terms: -14x + 20x = 6x
-34 + 6x = 5(x + -6) + 9

Reorder the terms:
-34 + 6x = 5(-6 + x) + 9
-34 + 6x = (-6 * 5 + x * 5) + 9
-34 + 6x = (-30 + 5x) + 9

Reorder the terms:
-34 + 6x = -30 + 9 + 5x

Combine like terms: -30 + 9 = -21
-34 + 6x = -21 + 5x

Solving
-34 + 6x = -21 + 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 = -21 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-34 + 1x = -21 + 5x + -5x

Combine like terms: 5x + -5x = 0
-34 + 1x = -21 + 0
-34 + 1x = -21

Add '34' to each side of the equation.
-34 + 34 + 1x = -21 + 34

Combine like terms: -34 + 34 = 0
0 + 1x = -21 + 34
1x = -21 + 34

Combine like terms: -21 + 34 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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