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

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


Simplifying
3(5 + -2x) = 3(3x + 1)
(5 * 3 + -2x * 3) = 3(3x + 1)
(15 + -6x) = 3(3x + 1)

Reorder the terms:
15 + -6x = 3(1 + 3x)
15 + -6x = (1 * 3 + 3x * 3)
15 + -6x = (3 + 9x)

Solving
15 + -6x = 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.
15 + -6x + -9x = 3 + 9x + -9x

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

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

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

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

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

Divide each side by '-15'.
x = 0.8

Simplifying
x = 0.8

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