4(x-5)=x+13

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


Simplifying
4(x + -5) = x + 13

Reorder the terms:
4(-5 + x) = x + 13
(-5 * 4 + x * 4) = x + 13
(-20 + 4x) = x + 13

Reorder the terms:
-20 + 4x = 13 + x

Solving
-20 + 4x = 13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-20 + 4x + -1x = 13 + x + -1x

Combine like terms: 4x + -1x = 3x
-20 + 3x = 13 + x + -1x

Combine like terms: x + -1x = 0
-20 + 3x = 13 + 0
-20 + 3x = 13

Add '20' to each side of the equation.
-20 + 20 + 3x = 13 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = 13 + 20
3x = 13 + 20

Combine like terms: 13 + 20 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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