7(3x+5)=11-x-9

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Solution for 7(3x+5)=11-x-9 equation:


Simplifying
7(3x + 5) = 11 + -1x + -9

Reorder the terms:
7(5 + 3x) = 11 + -1x + -9
(5 * 7 + 3x * 7) = 11 + -1x + -9
(35 + 21x) = 11 + -1x + -9

Reorder the terms:
35 + 21x = 11 + -9 + -1x

Combine like terms: 11 + -9 = 2
35 + 21x = 2 + -1x

Solving
35 + 21x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
35 + 21x + x = 2 + -1x + x

Combine like terms: 21x + x = 22x
35 + 22x = 2 + -1x + x

Combine like terms: -1x + x = 0
35 + 22x = 2 + 0
35 + 22x = 2

Add '-35' to each side of the equation.
35 + -35 + 22x = 2 + -35

Combine like terms: 35 + -35 = 0
0 + 22x = 2 + -35
22x = 2 + -35

Combine like terms: 2 + -35 = -33
22x = -33

Divide each side by '22'.
x = -1.5

Simplifying
x = -1.5

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