44-(2x+4)=2(x+5)+x

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


Simplifying
44 + -1(2x + 4) = 2(x + 5) + x

Reorder the terms:
44 + -1(4 + 2x) = 2(x + 5) + x
44 + (4 * -1 + 2x * -1) = 2(x + 5) + x
44 + (-4 + -2x) = 2(x + 5) + x

Combine like terms: 44 + -4 = 40
40 + -2x = 2(x + 5) + x

Reorder the terms:
40 + -2x = 2(5 + x) + x
40 + -2x = (5 * 2 + x * 2) + x
40 + -2x = (10 + 2x) + x

Combine like terms: 2x + x = 3x
40 + -2x = 10 + 3x

Solving
40 + -2x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
40 + -2x + -3x = 10 + 3x + -3x

Combine like terms: -2x + -3x = -5x
40 + -5x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + -5x = 10 + 0
40 + -5x = 10

Add '-40' to each side of the equation.
40 + -40 + -5x = 10 + -40

Combine like terms: 40 + -40 = 0
0 + -5x = 10 + -40
-5x = 10 + -40

Combine like terms: 10 + -40 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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