(43-7x)+(83-11x)=(117-22x)

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Solution for (43-7x)+(83-11x)=(117-22x) equation:


Simplifying
(43 + -7x) + (83 + -11x) = (117 + -22x)

Remove parenthesis around (43 + -7x)
43 + -7x + (83 + -11x) = (117 + -22x)

Remove parenthesis around (83 + -11x)
43 + -7x + 83 + -11x = (117 + -22x)

Reorder the terms:
43 + 83 + -7x + -11x = (117 + -22x)

Combine like terms: 43 + 83 = 126
126 + -7x + -11x = (117 + -22x)

Combine like terms: -7x + -11x = -18x
126 + -18x = (117 + -22x)

Remove parenthesis around (117 + -22x)
126 + -18x = 117 + -22x

Solving
126 + -18x = 117 + -22x

Solving for variable 'x'.

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

Add '22x' to each side of the equation.
126 + -18x + 22x = 117 + -22x + 22x

Combine like terms: -18x + 22x = 4x
126 + 4x = 117 + -22x + 22x

Combine like terms: -22x + 22x = 0
126 + 4x = 117 + 0
126 + 4x = 117

Add '-126' to each side of the equation.
126 + -126 + 4x = 117 + -126

Combine like terms: 126 + -126 = 0
0 + 4x = 117 + -126
4x = 117 + -126

Combine like terms: 117 + -126 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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