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

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


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

Reorder the terms:
4(5 + x) + -1(x + -5) = 19
(5 * 4 + x * 4) + -1(x + -5) = 19
(20 + 4x) + -1(x + -5) = 19

Reorder the terms:
20 + 4x + -1(-5 + x) = 19
20 + 4x + (-5 * -1 + x * -1) = 19
20 + 4x + (5 + -1x) = 19

Reorder the terms:
20 + 5 + 4x + -1x = 19

Combine like terms: 20 + 5 = 25
25 + 4x + -1x = 19

Combine like terms: 4x + -1x = 3x
25 + 3x = 19

Solving
25 + 3x = 19

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 3x = 19 + -25

Combine like terms: 25 + -25 = 0
0 + 3x = 19 + -25
3x = 19 + -25

Combine like terms: 19 + -25 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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