13x-(22-5x)=4(3x+5)

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Solution for 13x-(22-5x)=4(3x+5) equation:


Simplifying
13x + -1(22 + -5x) = 4(3x + 5)
13x + (22 * -1 + -5x * -1) = 4(3x + 5)
13x + (-22 + 5x) = 4(3x + 5)

Reorder the terms:
-22 + 13x + 5x = 4(3x + 5)

Combine like terms: 13x + 5x = 18x
-22 + 18x = 4(3x + 5)

Reorder the terms:
-22 + 18x = 4(5 + 3x)
-22 + 18x = (5 * 4 + 3x * 4)
-22 + 18x = (20 + 12x)

Solving
-22 + 18x = 20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-22 + 18x + -12x = 20 + 12x + -12x

Combine like terms: 18x + -12x = 6x
-22 + 6x = 20 + 12x + -12x

Combine like terms: 12x + -12x = 0
-22 + 6x = 20 + 0
-22 + 6x = 20

Add '22' to each side of the equation.
-22 + 22 + 6x = 20 + 22

Combine like terms: -22 + 22 = 0
0 + 6x = 20 + 22
6x = 20 + 22

Combine like terms: 20 + 22 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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