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

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


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

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

Reorder the terms:
-6 + 9x = -4(5 + x) + 1
-6 + 9x = (5 * -4 + x * -4) + 1
-6 + 9x = (-20 + -4x) + 1

Reorder the terms:
-6 + 9x = -20 + 1 + -4x

Combine like terms: -20 + 1 = -19
-6 + 9x = -19 + -4x

Solving
-6 + 9x = -19 + -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.
-6 + 9x + 4x = -19 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-6 + 13x = -19 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 13x = -19 + 0
-6 + 13x = -19

Add '6' to each side of the equation.
-6 + 6 + 13x = -19 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = -19 + 6
13x = -19 + 6

Combine like terms: -19 + 6 = -13
13x = -13

Divide each side by '13'.
x = -1

Simplifying
x = -1

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