7(2x+4)-(3x+1)=49

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Solution for 7(2x+4)-(3x+1)=49 equation: 


Simplifying
7(2x + 4) + -1(3x + 1) = 49

Reorder the terms:
7(4 + 2x) + -1(3x + 1) = 49
(4 * 7 + 2x * 7) + -1(3x + 1) = 49
(28 + 14x) + -1(3x + 1) = 49

Reorder the terms:
28 + 14x + -1(1 + 3x) = 49
28 + 14x + (1 * -1 + 3x * -1) = 49
28 + 14x + (-1 + -3x) = 49

Reorder the terms:
28 + -1 + 14x + -3x = 49

Combine like terms: 28 + -1 = 27
27 + 14x + -3x = 49

Combine like terms: 14x + -3x = 11x
27 + 11x = 49

Solving
27 + 11x = 49

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 11x = 49 + -27

Combine like terms: 27 + -27 = 0
0 + 11x = 49 + -27
11x = 49 + -27

Combine like terms: 49 + -27 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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