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

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


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

Reorder the terms:
3(3 + 2x) + -2(4 + -1x) = 2x(3)
(3 * 3 + 2x * 3) + -2(4 + -1x) = 2x(3)
(9 + 6x) + -2(4 + -1x) = 2x(3)
9 + 6x + (4 * -2 + -1x * -2) = 2x(3)
9 + 6x + (-8 + 2x) = 2x(3)

Reorder the terms:
9 + -8 + 6x + 2x = 2x(3)

Combine like terms: 9 + -8 = 1
1 + 6x + 2x = 2x(3)

Combine like terms: 6x + 2x = 8x
1 + 8x = 2x(3)

Reorder the terms for easier multiplication:
1 + 8x = 2 * 3x

Multiply 2 * 3
1 + 8x = 6x

Solving
1 + 8x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 8x + -6x = 6x + -6x

Combine like terms: 8x + -6x = 2x
1 + 2x = 6x + -6x

Combine like terms: 6x + -6x = 0
1 + 2x = 0

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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