4-3(x-5)=3x+1

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


Simplifying
4 + -3(x + -5) = 3x + 1

Reorder the terms:
4 + -3(-5 + x) = 3x + 1
4 + (-5 * -3 + x * -3) = 3x + 1
4 + (15 + -3x) = 3x + 1

Combine like terms: 4 + 15 = 19
19 + -3x = 3x + 1

Reorder the terms:
19 + -3x = 1 + 3x

Solving
19 + -3x = 1 + 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.
19 + -3x + -3x = 1 + 3x + -3x

Combine like terms: -3x + -3x = -6x
19 + -6x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + -6x = 1 + 0
19 + -6x = 1

Add '-19' to each side of the equation.
19 + -19 + -6x = 1 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = 1 + -19
-6x = 1 + -19

Combine like terms: 1 + -19 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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