3(x+4)=0.3(6x-15)

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Solution for 3(x+4)=0.3(6x-15) equation:


Simplifying
3(x + 4) = 0.3(6x + -15)

Reorder the terms:
3(4 + x) = 0.3(6x + -15)
(4 * 3 + x * 3) = 0.3(6x + -15)
(12 + 3x) = 0.3(6x + -15)

Reorder the terms:
12 + 3x = 0.3(-15 + 6x)
12 + 3x = (-15 * 0.3 + 6x * 0.3)
12 + 3x = (-4.5 + 1.8x)

Solving
12 + 3x = -4.5 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
12 + 3x + -1.8x = -4.5 + 1.8x + -1.8x

Combine like terms: 3x + -1.8x = 1.2x
12 + 1.2x = -4.5 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
12 + 1.2x = -4.5 + 0.0
12 + 1.2x = -4.5

Add '-12' to each side of the equation.
12 + -12 + 1.2x = -4.5 + -12

Combine like terms: 12 + -12 = 0
0 + 1.2x = -4.5 + -12
1.2x = -4.5 + -12

Combine like terms: -4.5 + -12 = -16.5
1.2x = -16.5

Divide each side by '1.2'.
x = -13.75

Simplifying
x = -13.75

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