2(x-4)-15=19-4x

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Solution for 2(x-4)-15=19-4x equation:


Simplifying
2(x + -4) + -15 = 19 + -4x

Reorder the terms:
2(-4 + x) + -15 = 19 + -4x
(-4 * 2 + x * 2) + -15 = 19 + -4x
(-8 + 2x) + -15 = 19 + -4x

Reorder the terms:
-8 + -15 + 2x = 19 + -4x

Combine like terms: -8 + -15 = -23
-23 + 2x = 19 + -4x

Solving
-23 + 2x = 19 + -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.
-23 + 2x + 4x = 19 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-23 + 6x = 19 + -4x + 4x

Combine like terms: -4x + 4x = 0
-23 + 6x = 19 + 0
-23 + 6x = 19

Add '23' to each side of the equation.
-23 + 23 + 6x = 19 + 23

Combine like terms: -23 + 23 = 0
0 + 6x = 19 + 23
6x = 19 + 23

Combine like terms: 19 + 23 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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