3(5x+4)-11x=2(9-x)

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Solution for 3(5x+4)-11x=2(9-x) equation:


Simplifying
3(5x + 4) + -11x = 2(9 + -1x)

Reorder the terms:
3(4 + 5x) + -11x = 2(9 + -1x)
(4 * 3 + 5x * 3) + -11x = 2(9 + -1x)
(12 + 15x) + -11x = 2(9 + -1x)

Combine like terms: 15x + -11x = 4x
12 + 4x = 2(9 + -1x)
12 + 4x = (9 * 2 + -1x * 2)
12 + 4x = (18 + -2x)

Solving
12 + 4x = 18 + -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.
12 + 4x + 2x = 18 + -2x + 2x

Combine like terms: 4x + 2x = 6x
12 + 6x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 6x = 18 + 0
12 + 6x = 18

Add '-12' to each side of the equation.
12 + -12 + 6x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 18 + -12
6x = 18 + -12

Combine like terms: 18 + -12 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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