5(3x+1)=2+3(x-1)

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Solution for 5(3x+1)=2+3(x-1) equation:


Simplifying
5(3x + 1) = 2 + 3(x + -1)

Reorder the terms:
5(1 + 3x) = 2 + 3(x + -1)
(1 * 5 + 3x * 5) = 2 + 3(x + -1)
(5 + 15x) = 2 + 3(x + -1)

Reorder the terms:
5 + 15x = 2 + 3(-1 + x)
5 + 15x = 2 + (-1 * 3 + x * 3)
5 + 15x = 2 + (-3 + 3x)

Combine like terms: 2 + -3 = -1
5 + 15x = -1 + 3x

Solving
5 + 15x = -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.
5 + 15x + -3x = -1 + 3x + -3x

Combine like terms: 15x + -3x = 12x
5 + 12x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 12x = -1 + 0
5 + 12x = -1

Add '-5' to each side of the equation.
5 + -5 + 12x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + 12x = -1 + -5
12x = -1 + -5

Combine like terms: -1 + -5 = -6
12x = -6

Divide each side by '12'.
x = -0.5

Simplifying
x = -0.5

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