3(4-x)-22=x+48

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Solution for 3(4-x)-22=x+48 equation:


Simplifying
3(4 + -1x) + -22 = x + 48
(4 * 3 + -1x * 3) + -22 = x + 48
(12 + -3x) + -22 = x + 48

Reorder the terms:
12 + -22 + -3x = x + 48

Combine like terms: 12 + -22 = -10
-10 + -3x = x + 48

Reorder the terms:
-10 + -3x = 48 + x

Solving
-10 + -3x = 48 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + -3x + -1x = 48 + x + -1x

Combine like terms: -3x + -1x = -4x
-10 + -4x = 48 + x + -1x

Combine like terms: x + -1x = 0
-10 + -4x = 48 + 0
-10 + -4x = 48

Add '10' to each side of the equation.
-10 + 10 + -4x = 48 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = 48 + 10
-4x = 48 + 10

Combine like terms: 48 + 10 = 58
-4x = 58

Divide each side by '-4'.
x = -14.5

Simplifying
x = -14.5

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