3(2x+1)-1=-9x+7

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Solution for 3(2x+1)-1=-9x+7 equation:


Simplifying
3(2x + 1) + -1 = -9x + 7

Reorder the terms:
3(1 + 2x) + -1 = -9x + 7
(1 * 3 + 2x * 3) + -1 = -9x + 7
(3 + 6x) + -1 = -9x + 7

Reorder the terms:
3 + -1 + 6x = -9x + 7

Combine like terms: 3 + -1 = 2
2 + 6x = -9x + 7

Reorder the terms:
2 + 6x = 7 + -9x

Solving
2 + 6x = 7 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
2 + 6x + 9x = 7 + -9x + 9x

Combine like terms: 6x + 9x = 15x
2 + 15x = 7 + -9x + 9x

Combine like terms: -9x + 9x = 0
2 + 15x = 7 + 0
2 + 15x = 7

Add '-2' to each side of the equation.
2 + -2 + 15x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 15x = 7 + -2
15x = 7 + -2

Combine like terms: 7 + -2 = 5
15x = 5

Divide each side by '15'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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