4(2x+9)=x(-26)+2

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Solution for 4(2x+9)=x(-26)+2 equation: 


Simplifying
4(2x + 9) = x(-26) + 2

Reorder the terms:
4(9 + 2x) = x(-26) + 2
(9 * 4 + 2x * 4) = x(-26) + 2
(36 + 8x) = x(-26) + 2

Reorder the terms for easier multiplication:
36 + 8x = -26x + 2

Reorder the terms:
36 + 8x = 2 + -26x

Solving
36 + 8x = 2 + -26x

Solving for variable 'x'.

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

Add '26x' to each side of the equation.
36 + 8x + 26x = 2 + -26x + 26x

Combine like terms: 8x + 26x = 34x
36 + 34x = 2 + -26x + 26x

Combine like terms: -26x + 26x = 0
36 + 34x = 2 + 0
36 + 34x = 2

Add '-36' to each side of the equation.
36 + -36 + 34x = 2 + -36

Combine like terms: 36 + -36 = 0
0 + 34x = 2 + -36
34x = 2 + -36

Combine like terms: 2 + -36 = -34
34x = -34

Divide each side by '34'.
x = -1

Simplifying
x = -1

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