3(2x+6)-5(x+7)=4x-44

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Solution for 3(2x+6)-5(x+7)=4x-44 equation:


Simplifying
3(2x + 6) + -5(x + 7) = 4x + -44

Reorder the terms:
3(6 + 2x) + -5(x + 7) = 4x + -44
(6 * 3 + 2x * 3) + -5(x + 7) = 4x + -44
(18 + 6x) + -5(x + 7) = 4x + -44

Reorder the terms:
18 + 6x + -5(7 + x) = 4x + -44
18 + 6x + (7 * -5 + x * -5) = 4x + -44
18 + 6x + (-35 + -5x) = 4x + -44

Reorder the terms:
18 + -35 + 6x + -5x = 4x + -44

Combine like terms: 18 + -35 = -17
-17 + 6x + -5x = 4x + -44

Combine like terms: 6x + -5x = 1x
-17 + 1x = 4x + -44

Reorder the terms:
-17 + 1x = -44 + 4x

Solving
-17 + 1x = -44 + 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.
-17 + 1x + -4x = -44 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-17 + -3x = -44 + 4x + -4x

Combine like terms: 4x + -4x = 0
-17 + -3x = -44 + 0
-17 + -3x = -44

Add '17' to each side of the equation.
-17 + 17 + -3x = -44 + 17

Combine like terms: -17 + 17 = 0
0 + -3x = -44 + 17
-3x = -44 + 17

Combine like terms: -44 + 17 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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