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

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


Simplifying
3(5 + -3x) + 1 = 3(x + 3) + -5x
(5 * 3 + -3x * 3) + 1 = 3(x + 3) + -5x
(15 + -9x) + 1 = 3(x + 3) + -5x

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

Combine like terms: 15 + 1 = 16
16 + -9x = 3(x + 3) + -5x

Reorder the terms:
16 + -9x = 3(3 + x) + -5x
16 + -9x = (3 * 3 + x * 3) + -5x
16 + -9x = (9 + 3x) + -5x

Combine like terms: 3x + -5x = -2x
16 + -9x = 9 + -2x

Solving
16 + -9x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
16 + -9x + 2x = 9 + -2x + 2x

Combine like terms: -9x + 2x = -7x
16 + -7x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + -7x = 9 + 0
16 + -7x = 9

Add '-16' to each side of the equation.
16 + -16 + -7x = 9 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = 9 + -16
-7x = 9 + -16

Combine like terms: 9 + -16 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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