7(x+2)=11x-8

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Solution for 7(x+2)=11x-8 equation:


Simplifying
7(x + 2) = 11x + -8

Reorder the terms:
7(2 + x) = 11x + -8
(2 * 7 + x * 7) = 11x + -8
(14 + 7x) = 11x + -8

Reorder the terms:
14 + 7x = -8 + 11x

Solving
14 + 7x = -8 + 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.
14 + 7x + -11x = -8 + 11x + -11x

Combine like terms: 7x + -11x = -4x
14 + -4x = -8 + 11x + -11x

Combine like terms: 11x + -11x = 0
14 + -4x = -8 + 0
14 + -4x = -8

Add '-14' to each side of the equation.
14 + -14 + -4x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -8 + -14
-4x = -8 + -14

Combine like terms: -8 + -14 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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