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

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


Simplifying
2x(5 + -2) + -3(x + 2) + 2(3x + 4) = 0

Combine like terms: 5 + -2 = 3
2x(3) + -3(x + 2) + 2(3x + 4) = 0

Reorder the terms for easier multiplication:
2 * 3x + -3(x + 2) + 2(3x + 4) = 0

Multiply 2 * 3
6x + -3(x + 2) + 2(3x + 4) = 0

Reorder the terms:
6x + -3(2 + x) + 2(3x + 4) = 0
6x + (2 * -3 + x * -3) + 2(3x + 4) = 0
6x + (-6 + -3x) + 2(3x + 4) = 0

Reorder the terms:
6x + -6 + -3x + 2(4 + 3x) = 0
6x + -6 + -3x + (4 * 2 + 3x * 2) = 0
6x + -6 + -3x + (8 + 6x) = 0

Reorder the terms:
-6 + 8 + 6x + -3x + 6x = 0

Combine like terms: -6 + 8 = 2
2 + 6x + -3x + 6x = 0

Combine like terms: 6x + -3x = 3x
2 + 3x + 6x = 0

Combine like terms: 3x + 6x = 9x
2 + 9x = 0

Solving
2 + 9x = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 0 + -2
9x = 0 + -2

Combine like terms: 0 + -2 = -2
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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