7(x+3)=11x-5

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


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

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

Reorder the terms:
21 + 7x = -5 + 11x

Solving
21 + 7x = -5 + 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.
21 + 7x + -11x = -5 + 11x + -11x

Combine like terms: 7x + -11x = -4x
21 + -4x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
21 + -4x = -5 + 0
21 + -4x = -5

Add '-21' to each side of the equation.
21 + -21 + -4x = -5 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = -5 + -21
-4x = -5 + -21

Combine like terms: -5 + -21 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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