4(x+5)-(x-9)=1

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Solution for 4(x+5)-(x-9)=1 equation: 


Simplifying
4(x + 5) + -1(x + -9) = 1

Reorder the terms:
4(5 + x) + -1(x + -9) = 1
(5 * 4 + x * 4) + -1(x + -9) = 1
(20 + 4x) + -1(x + -9) = 1

Reorder the terms:
20 + 4x + -1(-9 + x) = 1
20 + 4x + (-9 * -1 + x * -1) = 1
20 + 4x + (9 + -1x) = 1

Reorder the terms:
20 + 9 + 4x + -1x = 1

Combine like terms: 20 + 9 = 29
29 + 4x + -1x = 1

Combine like terms: 4x + -1x = 3x
29 + 3x = 1

Solving
29 + 3x = 1

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 3x = 1 + -29

Combine like terms: 29 + -29 = 0
0 + 3x = 1 + -29
3x = 1 + -29

Combine like terms: 1 + -29 = -28
3x = -28

Divide each side by '3'.
x = -9.333333333

Simplifying
x = -9.333333333

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