7(x+5)-(4x-1)=2

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Solution for 7(x+5)-(4x-1)=2 equation:


Simplifying
7(x + 5) + -1(4x + -1) = 2

Reorder the terms:
7(5 + x) + -1(4x + -1) = 2
(5 * 7 + x * 7) + -1(4x + -1) = 2
(35 + 7x) + -1(4x + -1) = 2

Reorder the terms:
35 + 7x + -1(-1 + 4x) = 2
35 + 7x + (-1 * -1 + 4x * -1) = 2
35 + 7x + (1 + -4x) = 2

Reorder the terms:
35 + 1 + 7x + -4x = 2

Combine like terms: 35 + 1 = 36
36 + 7x + -4x = 2

Combine like terms: 7x + -4x = 3x
36 + 3x = 2

Solving
36 + 3x = 2

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 3x = 2 + -36

Combine like terms: 36 + -36 = 0
0 + 3x = 2 + -36
3x = 2 + -36

Combine like terms: 2 + -36 = -34
3x = -34

Divide each side by '3'.
x = -11.33333333

Simplifying
x = -11.33333333

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