(x+4)+3(x+5)=51

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Solution for (x+4)+3(x+5)=51 equation:


Simplifying
(x + 4) + 3(x + 5) = 51

Reorder the terms:
(4 + x) + 3(x + 5) = 51

Remove parenthesis around (4 + x)
4 + x + 3(x + 5) = 51

Reorder the terms:
4 + x + 3(5 + x) = 51
4 + x + (5 * 3 + x * 3) = 51
4 + x + (15 + 3x) = 51

Reorder the terms:
4 + 15 + x + 3x = 51

Combine like terms: 4 + 15 = 19
19 + x + 3x = 51

Combine like terms: x + 3x = 4x
19 + 4x = 51

Solving
19 + 4x = 51

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 4x = 51 + -19

Combine like terms: 19 + -19 = 0
0 + 4x = 51 + -19
4x = 51 + -19

Combine like terms: 51 + -19 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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