3(5-2x)+7x=3(x+9)

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Solution for 3(5-2x)+7x=3(x+9) equation: 


Simplifying
3(5 + -2x) + 7x = 3(x + 9)
(5 * 3 + -2x * 3) + 7x = 3(x + 9)
(15 + -6x) + 7x = 3(x + 9)

Combine like terms: -6x + 7x = 1x
15 + 1x = 3(x + 9)

Reorder the terms:
15 + 1x = 3(9 + x)
15 + 1x = (9 * 3 + x * 3)
15 + 1x = (27 + 3x)

Solving
15 + 1x = 27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + 1x + -3x = 27 + 3x + -3x

Combine like terms: 1x + -3x = -2x
15 + -2x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -2x = 27 + 0
15 + -2x = 27

Add '-15' to each side of the equation.
15 + -15 + -2x = 27 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 27 + -15
-2x = 27 + -15

Combine like terms: 27 + -15 = 12
-2x = 12

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

Simplifying
x = -6

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