.75*(x+4)=3(x+2)

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Solution for .75*(x+4)=3(x+2) equation:


Simplifying
0.75(x + 4) = 3(x + 2)

Reorder the terms:
0.75(4 + x) = 3(x + 2)
(4 * 0.75 + x * 0.75) = 3(x + 2)
(3 + 0.75x) = 3(x + 2)

Reorder the terms:
3 + 0.75x = 3(2 + x)
3 + 0.75x = (2 * 3 + x * 3)
3 + 0.75x = (6 + 3x)

Solving
3 + 0.75x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + 0.75x + -3x = 6 + 3x + -3x

Combine like terms: 0.75x + -3x = -2.25x
3 + -2.25x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -2.25x = 6 + 0
3 + -2.25x = 6

Add '-3' to each side of the equation.
3 + -3 + -2.25x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -2.25x = 6 + -3
-2.25x = 6 + -3

Combine like terms: 6 + -3 = 3
-2.25x = 3

Divide each side by '-2.25'.
x = -1.333333333

Simplifying
x = -1.333333333

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