4(x-5)-6=19-5x

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


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

Reorder the terms:
4(-5 + x) + -6 = 19 + -5x
(-5 * 4 + x * 4) + -6 = 19 + -5x
(-20 + 4x) + -6 = 19 + -5x

Reorder the terms:
-20 + -6 + 4x = 19 + -5x

Combine like terms: -20 + -6 = -26
-26 + 4x = 19 + -5x

Solving
-26 + 4x = 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.
-26 + 4x + 5x = 19 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-26 + 9x = 19 + -5x + 5x

Combine like terms: -5x + 5x = 0
-26 + 9x = 19 + 0
-26 + 9x = 19

Add '26' to each side of the equation.
-26 + 26 + 9x = 19 + 26

Combine like terms: -26 + 26 = 0
0 + 9x = 19 + 26
9x = 19 + 26

Combine like terms: 19 + 26 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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