3(3x+x)+7(x-4)=5

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


Simplifying
3(3x + x) + 7(x + -4) = 5

Combine like terms: 3x + x = 4x
3(4x) + 7(x + -4) = 5

Remove parenthesis around (4x)
3 * 4x + 7(x + -4) = 5

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

Reorder the terms:
12x + 7(-4 + x) = 5
12x + (-4 * 7 + x * 7) = 5
12x + (-28 + 7x) = 5

Reorder the terms:
-28 + 12x + 7x = 5

Combine like terms: 12x + 7x = 19x
-28 + 19x = 5

Solving
-28 + 19x = 5

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 19x = 5 + 28

Combine like terms: -28 + 28 = 0
0 + 19x = 5 + 28
19x = 5 + 28

Combine like terms: 5 + 28 = 33
19x = 33

Divide each side by '19'.
x = 1.736842105

Simplifying
x = 1.736842105

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