11(x+4)=7x+13

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Solution for 11(x+4)=7x+13 equation:


Simplifying
11(x + 4) = 7x + 13

Reorder the terms:
11(4 + x) = 7x + 13
(4 * 11 + x * 11) = 7x + 13
(44 + 11x) = 7x + 13

Reorder the terms:
44 + 11x = 13 + 7x

Solving
44 + 11x = 13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
44 + 11x + -7x = 13 + 7x + -7x

Combine like terms: 11x + -7x = 4x
44 + 4x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
44 + 4x = 13 + 0
44 + 4x = 13

Add '-44' to each side of the equation.
44 + -44 + 4x = 13 + -44

Combine like terms: 44 + -44 = 0
0 + 4x = 13 + -44
4x = 13 + -44

Combine like terms: 13 + -44 = -31
4x = -31

Divide each side by '4'.
x = -7.75

Simplifying
x = -7.75

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