2(5x+8)-4(x+9)=-26

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Solution for 2(5x+8)-4(x+9)=-26 equation: 


Simplifying
2(5x + 8) + -4(x + 9) = -26

Reorder the terms:
2(8 + 5x) + -4(x + 9) = -26
(8 * 2 + 5x * 2) + -4(x + 9) = -26
(16 + 10x) + -4(x + 9) = -26

Reorder the terms:
16 + 10x + -4(9 + x) = -26
16 + 10x + (9 * -4 + x * -4) = -26
16 + 10x + (-36 + -4x) = -26

Reorder the terms:
16 + -36 + 10x + -4x = -26

Combine like terms: 16 + -36 = -20
-20 + 10x + -4x = -26

Combine like terms: 10x + -4x = 6x
-20 + 6x = -26

Solving
-20 + 6x = -26

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 6x = -26 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = -26 + 20
6x = -26 + 20

Combine like terms: -26 + 20 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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