5(x+4)=11x-7

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Solution for 5(x+4)=11x-7 equation:


Simplifying
5(x + 4) = 11x + -7

Reorder the terms:
5(4 + x) = 11x + -7
(4 * 5 + x * 5) = 11x + -7
(20 + 5x) = 11x + -7

Reorder the terms:
20 + 5x = -7 + 11x

Solving
20 + 5x = -7 + 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.
20 + 5x + -11x = -7 + 11x + -11x

Combine like terms: 5x + -11x = -6x
20 + -6x = -7 + 11x + -11x

Combine like terms: 11x + -11x = 0
20 + -6x = -7 + 0
20 + -6x = -7

Add '-20' to each side of the equation.
20 + -20 + -6x = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -7 + -20
-6x = -7 + -20

Combine like terms: -7 + -20 = -27
-6x = -27

Divide each side by '-6'.
x = 4.5

Simplifying
x = 4.5

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