11x-3=7(x+3)+12

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Solution for 11x-3=7(x+3)+12 equation:


Simplifying
11x + -3 = 7(x + 3) + 12

Reorder the terms:
-3 + 11x = 7(x + 3) + 12

Reorder the terms:
-3 + 11x = 7(3 + x) + 12
-3 + 11x = (3 * 7 + x * 7) + 12
-3 + 11x = (21 + 7x) + 12

Reorder the terms:
-3 + 11x = 21 + 12 + 7x

Combine like terms: 21 + 12 = 33
-3 + 11x = 33 + 7x

Solving
-3 + 11x = 33 + 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.
-3 + 11x + -7x = 33 + 7x + -7x

Combine like terms: 11x + -7x = 4x
-3 + 4x = 33 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + 4x = 33 + 0
-3 + 4x = 33

Add '3' to each side of the equation.
-3 + 3 + 4x = 33 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 33 + 3
4x = 33 + 3

Combine like terms: 33 + 3 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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