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

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


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

Reorder the terms:
3(5 + 2x) = 2 + (1 + -3x)
(5 * 3 + 2x * 3) = 2 + (1 + -3x)
(15 + 6x) = 2 + (1 + -3x)

Remove parenthesis around (1 + -3x)
15 + 6x = 2 + 1 + -3x

Combine like terms: 2 + 1 = 3
15 + 6x = 3 + -3x

Solving
15 + 6x = 3 + -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.
15 + 6x + 3x = 3 + -3x + 3x

Combine like terms: 6x + 3x = 9x
15 + 9x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 9x = 3 + 0
15 + 9x = 3

Add '-15' to each side of the equation.
15 + -15 + 9x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = 3 + -15
9x = 3 + -15

Combine like terms: 3 + -15 = -12
9x = -12

Divide each side by '9'.
x = -1.333333333

Simplifying
x = -1.333333333

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