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

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


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

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

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

Combine like terms: 9 + 1 = 10
10 + 15x = 7x + -9(x + -3)

Reorder the terms:
10 + 15x = 7x + -9(-3 + x)
10 + 15x = 7x + (-3 * -9 + x * -9)
10 + 15x = 7x + (27 + -9x)

Reorder the terms:
10 + 15x = 27 + 7x + -9x

Combine like terms: 7x + -9x = -2x
10 + 15x = 27 + -2x

Solving
10 + 15x = 27 + -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.
10 + 15x + 2x = 27 + -2x + 2x

Combine like terms: 15x + 2x = 17x
10 + 17x = 27 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 17x = 27 + 0
10 + 17x = 27

Add '-10' to each side of the equation.
10 + -10 + 17x = 27 + -10

Combine like terms: 10 + -10 = 0
0 + 17x = 27 + -10
17x = 27 + -10

Combine like terms: 27 + -10 = 17
17x = 17

Divide each side by '17'.
x = 1

Simplifying
x = 1

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