-4(x-5)=2(x+2)+1

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Solution for -4(x-5)=2(x+2)+1 equation: 


Simplifying
-4(x + -5) = 2(x + 2) + 1

Reorder the terms:
-4(-5 + x) = 2(x + 2) + 1
(-5 * -4 + x * -4) = 2(x + 2) + 1
(20 + -4x) = 2(x + 2) + 1

Reorder the terms:
20 + -4x = 2(2 + x) + 1
20 + -4x = (2 * 2 + x * 2) + 1
20 + -4x = (4 + 2x) + 1

Reorder the terms:
20 + -4x = 4 + 1 + 2x

Combine like terms: 4 + 1 = 5
20 + -4x = 5 + 2x

Solving
20 + -4x = 5 + 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 + -4x + -2x = 5 + 2x + -2x

Combine like terms: -4x + -2x = -6x
20 + -6x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -6x = 5 + 0
20 + -6x = 5

Add '-20' to each side of the equation.
20 + -20 + -6x = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = 5 + -20
-6x = 5 + -20

Combine like terms: 5 + -20 = -15
-6x = -15

Divide each side by '-6'.
x = 2.5

Simplifying
x = 2.5

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