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

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


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

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

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

Combine like terms: x + 4x = 5x
-20 + 5x = 2(x + -5) + -13

Reorder the terms:
-20 + 5x = 2(-5 + x) + -13
-20 + 5x = (-5 * 2 + x * 2) + -13
-20 + 5x = (-10 + 2x) + -13

Reorder the terms:
-20 + 5x = -10 + -13 + 2x

Combine like terms: -10 + -13 = -23
-20 + 5x = -23 + 2x

Solving
-20 + 5x = -23 + 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.
-20 + 5x + -2x = -23 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-20 + 3x = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 3x = -23 + 0
-20 + 3x = -23

Add '20' to each side of the equation.
-20 + 20 + 3x = -23 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = -23 + 20
3x = -23 + 20

Combine like terms: -23 + 20 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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