4(x+1)-9=-(2x-13)

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Solution for 4(x+1)-9=-(2x-13) equation:


Simplifying
4(x + 1) + -9 = -1(2x + -13)

Reorder the terms:
4(1 + x) + -9 = -1(2x + -13)
(1 * 4 + x * 4) + -9 = -1(2x + -13)
(4 + 4x) + -9 = -1(2x + -13)

Reorder the terms:
4 + -9 + 4x = -1(2x + -13)

Combine like terms: 4 + -9 = -5
-5 + 4x = -1(2x + -13)

Reorder the terms:
-5 + 4x = -1(-13 + 2x)
-5 + 4x = (-13 * -1 + 2x * -1)
-5 + 4x = (13 + -2x)

Solving
-5 + 4x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + 4x + 2x = 13 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-5 + 6x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 6x = 13 + 0
-5 + 6x = 13

Add '5' to each side of the equation.
-5 + 5 + 6x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 13 + 5
6x = 13 + 5

Combine like terms: 13 + 5 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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