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

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


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

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

Reorder the terms:
2 + 5x = 3(-1 + 3x)
2 + 5x = (-1 * 3 + 3x * 3)
2 + 5x = (-3 + 9x)

Solving
2 + 5x = -3 + 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 + 5x + -9x = -3 + 9x + -9x

Combine like terms: 5x + -9x = -4x
2 + -4x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -4x = -3 + 0
2 + -4x = -3

Add '-2' to each side of the equation.
2 + -2 + -4x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -3 + -2
-4x = -3 + -2

Combine like terms: -3 + -2 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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