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

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


Simplifying
3(2 + -1x) + 4x = -0.3(x + 3)
(2 * 3 + -1x * 3) + 4x = -0.3(x + 3)
(6 + -3x) + 4x = -0.3(x + 3)

Combine like terms: -3x + 4x = 1x
6 + 1x = -0.3(x + 3)

Reorder the terms:
6 + 1x = -0.3(3 + x)
6 + 1x = (3 * -0.3 + x * -0.3)
6 + 1x = (-0.9 + -0.3x)

Solving
6 + 1x = -0.9 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
6 + 1x + 0.3x = -0.9 + -0.3x + 0.3x

Combine like terms: 1x + 0.3x = 1.3x
6 + 1.3x = -0.9 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
6 + 1.3x = -0.9 + 0.0
6 + 1.3x = -0.9

Add '-6' to each side of the equation.
6 + -6 + 1.3x = -0.9 + -6

Combine like terms: 6 + -6 = 0
0 + 1.3x = -0.9 + -6
1.3x = -0.9 + -6

Combine like terms: -0.9 + -6 = -6.9
1.3x = -6.9

Divide each side by '1.3'.
x = -5.307692308

Simplifying
x = -5.307692308

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