3(x+11)=7x-15

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


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

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

Reorder the terms:
33 + 3x = -15 + 7x

Solving
33 + 3x = -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 + 3x + -7x = -15 + 7x + -7x

Combine like terms: 3x + -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 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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