2(4x+1)-6=5x-19

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Solution for 2(4x+1)-6=5x-19 equation:


Simplifying
2(4x + 1) + -6 = 5x + -19

Reorder the terms:
2(1 + 4x) + -6 = 5x + -19
(1 * 2 + 4x * 2) + -6 = 5x + -19
(2 + 8x) + -6 = 5x + -19

Reorder the terms:
2 + -6 + 8x = 5x + -19

Combine like terms: 2 + -6 = -4
-4 + 8x = 5x + -19

Reorder the terms:
-4 + 8x = -19 + 5x

Solving
-4 + 8x = -19 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 8x + -5x = -19 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-4 + 3x = -19 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 3x = -19 + 0
-4 + 3x = -19

Add '4' to each side of the equation.
-4 + 4 + 3x = -19 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = -19 + 4
3x = -19 + 4

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

Divide each side by '3'.
x = -5

Simplifying
x = -5

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