5(x-22)=44-11(x+4)

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Solution for 5(x-22)=44-11(x+4) equation:


Simplifying
5(x + -22) = 44 + -11(x + 4)

Reorder the terms:
5(-22 + x) = 44 + -11(x + 4)
(-22 * 5 + x * 5) = 44 + -11(x + 4)
(-110 + 5x) = 44 + -11(x + 4)

Reorder the terms:
-110 + 5x = 44 + -11(4 + x)
-110 + 5x = 44 + (4 * -11 + x * -11)
-110 + 5x = 44 + (-44 + -11x)

Combine like terms: 44 + -44 = 0
-110 + 5x = 0 + -11x
-110 + 5x = -11x

Solving
-110 + 5x = -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
-110 + 5x + 11x = -11x + 11x

Combine like terms: 5x + 11x = 16x
-110 + 16x = -11x + 11x

Combine like terms: -11x + 11x = 0
-110 + 16x = 0

Add '110' to each side of the equation.
-110 + 110 + 16x = 0 + 110

Combine like terms: -110 + 110 = 0
0 + 16x = 0 + 110
16x = 0 + 110

Combine like terms: 0 + 110 = 110
16x = 110

Divide each side by '16'.
x = 6.875

Simplifying
x = 6.875

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