x+7+3(4+5)=(x*12)+12

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Solution for x+7+3(4+5)=(x*12)+12 equation:


Simplifying
x + 7 + 3(4 + 5) = (x * 12) + 12

Combine like terms: 4 + 5 = 9
x + 7 + 3(9) = (x * 12) + 12

Multiply 3 * 9
x + 7 + 27 = (x * 12) + 12

Reorder the terms:
7 + 27 + x = (x * 12) + 12

Combine like terms: 7 + 27 = 34
34 + x = (x * 12) + 12

Reorder the terms for easier multiplication:
34 + x = (12x) + 12

Reorder the terms:
34 + x = 12 + (12x)

Solving
34 + x = 12 + (12x)

Solving for variable 'x'.

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

Add '(-12x)' to each side of the equation.
34 + x + (-12x) = 12 + (12x) + (-12x)

Combine like terms: x + (-12x) = -11x
34 + -11x = 12 + (12x) + (-12x)

Combine like terms: (12x) + (-12x) = 0
34 + -11x = 12 + 0
34 + -11x = 12

Add '-34' to each side of the equation.
34 + -34 + -11x = 12 + -34

Combine like terms: 34 + -34 = 0
0 + -11x = 12 + -34
-11x = 12 + -34

Combine like terms: 12 + -34 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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