4(x+3)=.3(3x+3)-6

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


Simplifying
4(x + 3) = 0.3(3x + 3) + -6

Reorder the terms:
4(3 + x) = 0.3(3x + 3) + -6
(3 * 4 + x * 4) = 0.3(3x + 3) + -6
(12 + 4x) = 0.3(3x + 3) + -6

Reorder the terms:
12 + 4x = 0.3(3 + 3x) + -6
12 + 4x = (3 * 0.3 + 3x * 0.3) + -6
12 + 4x = (0.9 + 0.9x) + -6

Reorder the terms:
12 + 4x = 0.9 + -6 + 0.9x

Combine like terms: 0.9 + -6 = -5.1
12 + 4x = -5.1 + 0.9x

Solving
12 + 4x = -5.1 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
12 + 4x + -0.9x = -5.1 + 0.9x + -0.9x

Combine like terms: 4x + -0.9x = 3.1x
12 + 3.1x = -5.1 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
12 + 3.1x = -5.1 + 0.0
12 + 3.1x = -5.1

Add '-12' to each side of the equation.
12 + -12 + 3.1x = -5.1 + -12

Combine like terms: 12 + -12 = 0
0 + 3.1x = -5.1 + -12
3.1x = -5.1 + -12

Combine like terms: -5.1 + -12 = -17.1
3.1x = -17.1

Divide each side by '3.1'.
x = -5.516129032

Simplifying
x = -5.516129032

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