-2x+46=4(5x-5)

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Solution for -2x+46=4(5x-5) equation: 


Simplifying
-2x + 46 = 4(5x + -5)

Reorder the terms:
46 + -2x = 4(5x + -5)

Reorder the terms:
46 + -2x = 4(-5 + 5x)
46 + -2x = (-5 * 4 + 5x * 4)
46 + -2x = (-20 + 20x)

Solving
46 + -2x = -20 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
46 + -2x + -20x = -20 + 20x + -20x

Combine like terms: -2x + -20x = -22x
46 + -22x = -20 + 20x + -20x

Combine like terms: 20x + -20x = 0
46 + -22x = -20 + 0
46 + -22x = -20

Add '-46' to each side of the equation.
46 + -46 + -22x = -20 + -46

Combine like terms: 46 + -46 = 0
0 + -22x = -20 + -46
-22x = -20 + -46

Combine like terms: -20 + -46 = -66
-22x = -66

Divide each side by '-22'.
x = 3

Simplifying
x = 3

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