5(3x+1)=9x-7

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Solution for 5(3x+1)=9x-7 equation:


Simplifying
5(3x + 1) = 9x + -7

Reorder the terms:
5(1 + 3x) = 9x + -7
(1 * 5 + 3x * 5) = 9x + -7
(5 + 15x) = 9x + -7

Reorder the terms:
5 + 15x = -7 + 9x

Solving
5 + 15x = -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.
5 + 15x + -9x = -7 + 9x + -9x

Combine like terms: 15x + -9x = 6x
5 + 6x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + 6x = -7 + 0
5 + 6x = -7

Add '-5' to each side of the equation.
5 + -5 + 6x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = -7 + -5
6x = -7 + -5

Combine like terms: -7 + -5 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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