1-5(-3x+1)=3x+8

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Solution for 1-5(-3x+1)=3x+8 equation:


Simplifying
1 + -5(-3x + 1) = 3x + 8

Reorder the terms:
1 + -5(1 + -3x) = 3x + 8
1 + (1 * -5 + -3x * -5) = 3x + 8
1 + (-5 + 15x) = 3x + 8

Combine like terms: 1 + -5 = -4
-4 + 15x = 3x + 8

Reorder the terms:
-4 + 15x = 8 + 3x

Solving
-4 + 15x = 8 + 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.
-4 + 15x + -3x = 8 + 3x + -3x

Combine like terms: 15x + -3x = 12x
-4 + 12x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 12x = 8 + 0
-4 + 12x = 8

Add '4' to each side of the equation.
-4 + 4 + 12x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 12x = 8 + 4
12x = 8 + 4

Combine like terms: 8 + 4 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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