-4(x-5)+2=5(x-1)+3

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Solution for -4(x-5)+2=5(x-1)+3 equation: 


Simplifying
-4(x + -5) + 2 = 5(x + -1) + 3

Reorder the terms:
-4(-5 + x) + 2 = 5(x + -1) + 3
(-5 * -4 + x * -4) + 2 = 5(x + -1) + 3
(20 + -4x) + 2 = 5(x + -1) + 3

Reorder the terms:
20 + 2 + -4x = 5(x + -1) + 3

Combine like terms: 20 + 2 = 22
22 + -4x = 5(x + -1) + 3

Reorder the terms:
22 + -4x = 5(-1 + x) + 3
22 + -4x = (-1 * 5 + x * 5) + 3
22 + -4x = (-5 + 5x) + 3

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

Combine like terms: -5 + 3 = -2
22 + -4x = -2 + 5x

Solving
22 + -4x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
22 + -4x + -5x = -2 + 5x + -5x

Combine like terms: -4x + -5x = -9x
22 + -9x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
22 + -9x = -2 + 0
22 + -9x = -2

Add '-22' to each side of the equation.
22 + -22 + -9x = -2 + -22

Combine like terms: 22 + -22 = 0
0 + -9x = -2 + -22
-9x = -2 + -22

Combine like terms: -2 + -22 = -24
-9x = -24

Divide each side by '-9'.
x = 2.666666667

Simplifying
x = 2.666666667

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