3(2x+5)+x=9-4(x-2)

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Solution for 3(2x+5)+x=9-4(x-2) equation:


Simplifying
3(2x + 5) + x = 9 + -4(x + -2)

Reorder the terms:
3(5 + 2x) + x = 9 + -4(x + -2)
(5 * 3 + 2x * 3) + x = 9 + -4(x + -2)
(15 + 6x) + x = 9 + -4(x + -2)

Combine like terms: 6x + x = 7x
15 + 7x = 9 + -4(x + -2)

Reorder the terms:
15 + 7x = 9 + -4(-2 + x)
15 + 7x = 9 + (-2 * -4 + x * -4)
15 + 7x = 9 + (8 + -4x)

Combine like terms: 9 + 8 = 17
15 + 7x = 17 + -4x

Solving
15 + 7x = 17 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
15 + 7x + 4x = 17 + -4x + 4x

Combine like terms: 7x + 4x = 11x
15 + 11x = 17 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + 11x = 17 + 0
15 + 11x = 17

Add '-15' to each side of the equation.
15 + -15 + 11x = 17 + -15

Combine like terms: 15 + -15 = 0
0 + 11x = 17 + -15
11x = 17 + -15

Combine like terms: 17 + -15 = 2
11x = 2

Divide each side by '11'.
x = 0.1818181818

Simplifying
x = 0.1818181818

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