13+4(x-5)=11-2x

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Solution for 13+4(x-5)=11-2x equation:


Simplifying
13 + 4(x + -5) = 11 + -2x

Reorder the terms:
13 + 4(-5 + x) = 11 + -2x
13 + (-5 * 4 + x * 4) = 11 + -2x
13 + (-20 + 4x) = 11 + -2x

Combine like terms: 13 + -20 = -7
-7 + 4x = 11 + -2x

Solving
-7 + 4x = 11 + -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.
-7 + 4x + 2x = 11 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-7 + 6x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 6x = 11 + 0
-7 + 6x = 11

Add '7' to each side of the equation.
-7 + 7 + 6x = 11 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 11 + 7
6x = 11 + 7

Combine like terms: 11 + 7 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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