4(x+5)=11x-36

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Solution for 4(x+5)=11x-36 equation:


Simplifying
4(x + 5) = 11x + -36

Reorder the terms:
4(5 + x) = 11x + -36
(5 * 4 + x * 4) = 11x + -36
(20 + 4x) = 11x + -36

Reorder the terms:
20 + 4x = -36 + 11x

Solving
20 + 4x = -36 + 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 + 4x + -11x = -36 + 11x + -11x

Combine like terms: 4x + -11x = -7x
20 + -7x = -36 + 11x + -11x

Combine like terms: 11x + -11x = 0
20 + -7x = -36 + 0
20 + -7x = -36

Add '-20' to each side of the equation.
20 + -20 + -7x = -36 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -36 + -20
-7x = -36 + -20

Combine like terms: -36 + -20 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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