17-48=3(x-1)-4

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Solution for 17-48=3(x-1)-4 equation:


Simplifying
17 + -48 = 3(x + -1) + -4

Combine like terms: 17 + -48 = -31
-31 = 3(x + -1) + -4

Reorder the terms:
-31 = 3(-1 + x) + -4
-31 = (-1 * 3 + x * 3) + -4
-31 = (-3 + 3x) + -4

Reorder the terms:
-31 = -3 + -4 + 3x

Combine like terms: -3 + -4 = -7
-31 = -7 + 3x

Solving
-31 = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-31 + -3x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + -3x = -7 + 0
-31 + -3x = -7

Add '31' to each side of the equation.
-31 + 31 + -3x = -7 + 31

Combine like terms: -31 + 31 = 0
0 + -3x = -7 + 31
-3x = -7 + 31

Combine like terms: -7 + 31 = 24
-3x = 24

Divide each side by '-3'.
x = -8

Simplifying
x = -8

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