16-10x=-9(4x+1)+x

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Solution for 16-10x=-9(4x+1)+x equation:


Simplifying
16 + -10x = -9(4x + 1) + x

Reorder the terms:
16 + -10x = -9(1 + 4x) + x
16 + -10x = (1 * -9 + 4x * -9) + x
16 + -10x = (-9 + -36x) + x

Combine like terms: -36x + x = -35x
16 + -10x = -9 + -35x

Solving
16 + -10x = -9 + -35x

Solving for variable 'x'.

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

Add '35x' to each side of the equation.
16 + -10x + 35x = -9 + -35x + 35x

Combine like terms: -10x + 35x = 25x
16 + 25x = -9 + -35x + 35x

Combine like terms: -35x + 35x = 0
16 + 25x = -9 + 0
16 + 25x = -9

Add '-16' to each side of the equation.
16 + -16 + 25x = -9 + -16

Combine like terms: 16 + -16 = 0
0 + 25x = -9 + -16
25x = -9 + -16

Combine like terms: -9 + -16 = -25
25x = -25

Divide each side by '25'.
x = -1

Simplifying
x = -1

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