11(x+3)=7x+15

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Solution for 11(x+3)=7x+15 equation:


Simplifying
11(x + 3) = 7x + 15

Reorder the terms:
11(3 + x) = 7x + 15
(3 * 11 + x * 11) = 7x + 15
(33 + 11x) = 7x + 15

Reorder the terms:
33 + 11x = 15 + 7x

Solving
33 + 11x = 15 + 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.
33 + 11x + -7x = 15 + 7x + -7x

Combine like terms: 11x + -7x = 4x
33 + 4x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
33 + 4x = 15 + 0
33 + 4x = 15

Add '-33' to each side of the equation.
33 + -33 + 4x = 15 + -33

Combine like terms: 33 + -33 = 0
0 + 4x = 15 + -33
4x = 15 + -33

Combine like terms: 15 + -33 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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