x+3(x+1)=51

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Solution for x+3(x+1)=51 equation:


Simplifying
x + 3(x + 1) = 51

Reorder the terms:
x + 3(1 + x) = 51
x + (1 * 3 + x * 3) = 51
x + (3 + 3x) = 51

Reorder the terms:
3 + x + 3x = 51

Combine like terms: x + 3x = 4x
3 + 4x = 51

Solving
3 + 4x = 51

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 51 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 51 + -3
4x = 51 + -3

Combine like terms: 51 + -3 = 48
4x = 48

Divide each side by '4'.
x = 12

Simplifying
x = 12

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