3(2x+5)-11=12-4x-5x

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Solution for 3(2x+5)-11=12-4x-5x equation:


Simplifying
3(2x + 5) + -11 = 12 + -4x + -5x

Reorder the terms:
3(5 + 2x) + -11 = 12 + -4x + -5x
(5 * 3 + 2x * 3) + -11 = 12 + -4x + -5x
(15 + 6x) + -11 = 12 + -4x + -5x

Reorder the terms:
15 + -11 + 6x = 12 + -4x + -5x

Combine like terms: 15 + -11 = 4
4 + 6x = 12 + -4x + -5x

Combine like terms: -4x + -5x = -9x
4 + 6x = 12 + -9x

Solving
4 + 6x = 12 + -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.
4 + 6x + 9x = 12 + -9x + 9x

Combine like terms: 6x + 9x = 15x
4 + 15x = 12 + -9x + 9x

Combine like terms: -9x + 9x = 0
4 + 15x = 12 + 0
4 + 15x = 12

Add '-4' to each side of the equation.
4 + -4 + 15x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 15x = 12 + -4
15x = 12 + -4

Combine like terms: 12 + -4 = 8
15x = 8

Divide each side by '15'.
x = 0.5333333333

Simplifying
x = 0.5333333333

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