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

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


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

Reorder the terms:
-48 + -3x = -4(-3x + -3) + 1

Reorder the terms:
-48 + -3x = -4(-3 + -3x) + 1
-48 + -3x = (-3 * -4 + -3x * -4) + 1
-48 + -3x = (12 + 12x) + 1

Reorder the terms:
-48 + -3x = 12 + 1 + 12x

Combine like terms: 12 + 1 = 13
-48 + -3x = 13 + 12x

Solving
-48 + -3x = 13 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-48 + -3x + -12x = 13 + 12x + -12x

Combine like terms: -3x + -12x = -15x
-48 + -15x = 13 + 12x + -12x

Combine like terms: 12x + -12x = 0
-48 + -15x = 13 + 0
-48 + -15x = 13

Add '48' to each side of the equation.
-48 + 48 + -15x = 13 + 48

Combine like terms: -48 + 48 = 0
0 + -15x = 13 + 48
-15x = 13 + 48

Combine like terms: 13 + 48 = 61
-15x = 61

Divide each side by '-15'.
x = -4.066666667

Simplifying
x = -4.066666667

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