48-5(1-x)=3(4-2x)-2

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Solution for 48-5(1-x)=3(4-2x)-2 equation: 


Simplifying
48 + -5(1 + -1x) = 3(4 + -2x) + -2
48 + (1 * -5 + -1x * -5) = 3(4 + -2x) + -2
48 + (-5 + 5x) = 3(4 + -2x) + -2

Combine like terms: 48 + -5 = 43
43 + 5x = 3(4 + -2x) + -2
43 + 5x = (4 * 3 + -2x * 3) + -2
43 + 5x = (12 + -6x) + -2

Reorder the terms:
43 + 5x = 12 + -2 + -6x

Combine like terms: 12 + -2 = 10
43 + 5x = 10 + -6x

Solving
43 + 5x = 10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
43 + 5x + 6x = 10 + -6x + 6x

Combine like terms: 5x + 6x = 11x
43 + 11x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
43 + 11x = 10 + 0
43 + 11x = 10

Add '-43' to each side of the equation.
43 + -43 + 11x = 10 + -43

Combine like terms: 43 + -43 = 0
0 + 11x = 10 + -43
11x = 10 + -43

Combine like terms: 10 + -43 = -33
11x = -33

Divide each side by '11'.
x = -3

Simplifying
x = -3

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