2+3(3x-4)=6-(2x+1)

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Solution for 2+3(3x-4)=6-(2x+1) equation:


Simplifying
2 + 3(3x + -4) = 6 + -1(2x + 1)

Reorder the terms:
2 + 3(-4 + 3x) = 6 + -1(2x + 1)
2 + (-4 * 3 + 3x * 3) = 6 + -1(2x + 1)
2 + (-12 + 9x) = 6 + -1(2x + 1)

Combine like terms: 2 + -12 = -10
-10 + 9x = 6 + -1(2x + 1)

Reorder the terms:
-10 + 9x = 6 + -1(1 + 2x)
-10 + 9x = 6 + (1 * -1 + 2x * -1)
-10 + 9x = 6 + (-1 + -2x)

Combine like terms: 6 + -1 = 5
-10 + 9x = 5 + -2x

Solving
-10 + 9x = 5 + -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 + 9x + 2x = 5 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-10 + 11x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 11x = 5 + 0
-10 + 11x = 5

Add '10' to each side of the equation.
-10 + 10 + 11x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 5 + 10
11x = 5 + 10

Combine like terms: 5 + 10 = 15
11x = 15

Divide each side by '11'.
x = 1.363636364

Simplifying
x = 1.363636364

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