(5x-1)+2(3x+7)=4x-1

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Solution for (5x-1)+2(3x+7)=4x-1 equation:


Simplifying
(5x + -1) + 2(3x + 7) = 4x + -1

Reorder the terms:
(-1 + 5x) + 2(3x + 7) = 4x + -1

Remove parenthesis around (-1 + 5x)
-1 + 5x + 2(3x + 7) = 4x + -1

Reorder the terms:
-1 + 5x + 2(7 + 3x) = 4x + -1
-1 + 5x + (7 * 2 + 3x * 2) = 4x + -1
-1 + 5x + (14 + 6x) = 4x + -1

Reorder the terms:
-1 + 14 + 5x + 6x = 4x + -1

Combine like terms: -1 + 14 = 13
13 + 5x + 6x = 4x + -1

Combine like terms: 5x + 6x = 11x
13 + 11x = 4x + -1

Reorder the terms:
13 + 11x = -1 + 4x

Solving
13 + 11x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + 11x + -4x = -1 + 4x + -4x

Combine like terms: 11x + -4x = 7x
13 + 7x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + 7x = -1 + 0
13 + 7x = -1

Add '-13' to each side of the equation.
13 + -13 + 7x = -1 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = -1 + -13
7x = -1 + -13

Combine like terms: -1 + -13 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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